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Finding the Fourth Proportional to 201,074,613.60, 301,611,920.40 and 71,828,162.40

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Solution

The fourth proportional to 201,074,613.60, 301,611,920.40 and 71,828,162.40 is: 107,742,243.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,074,613.60 : 301,611,920.40 = 71,828,162.40 : x
  2. Step 2: Convert to fraction form
    201,074,613.60/301,611,920.40 = 71,828,162.40/x
  3. Step 3: Cross multiply
    201,074,613.60x = 301,611,920.40 × 71,828,162.40
  4. Step 4: Simplify right side
    201,074,613.60x = 21,664,230,000,267,072
  5. Step 5: Solve for x
    x = 21,664,230,000,267,072/201,074,613.60
  6. Step 6: Final answer
    x = 107,742,243.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.