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Finding the Fourth Proportional to 201,446.80, 301,842.15 and 148,302.70

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Solution

The fourth proportional to 201,446.80, 301,842.15 and 148,302.70 is: 222,212.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,446.80 : 301,842.15 = 148,302.70 : x
  2. Step 2: Convert to fraction form
    201,446.80/301,842.15 = 148,302.70/x
  3. Step 3: Cross multiply
    201,446.80x = 301,842.15 × 148,302.70
  4. Step 4: Simplify right side
    201,446.80x = 44,764,005,818.81
  5. Step 5: Solve for x
    x = 44,764,005,818.81/201,446.80
  6. Step 6: Final answer
    x = 222,212.54

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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.