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Finding the Fourth Proportional to 201,716.30, 302,574.45 and 138,730.70

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Solution

The fourth proportional to 201,716.30, 302,574.45 and 138,730.70 is: 208,096.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,716.30 : 302,574.45 = 138,730.70 : x
  2. Step 2: Convert to fraction form
    201,716.30/302,574.45 = 138,730.70/x
  3. Step 3: Cross multiply
    201,716.30x = 302,574.45 × 138,730.70
  4. Step 4: Simplify right side
    201,716.30x = 41,976,365,250.62
  5. Step 5: Solve for x
    x = 41,976,365,250.62/201,716.30
  6. Step 6: Final answer
    x = 208,096.05

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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.