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Finding the Fourth Proportional to 502,105.14, 753,157.31 and 128,128.14

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Solution

The fourth proportional to 502,105.14, 753,157.31 and 128,128.14 is: 192,192.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,105.14 : 753,157.31 = 128,128.14 : x
  2. Step 2: Convert to fraction form
    502,105.14/753,157.31 = 128,128.14/x
  3. Step 3: Cross multiply
    502,105.14x = 753,157.31 × 128,128.14
  4. Step 4: Simplify right side
    502,105.14x = 96,500,644,617.06
  5. Step 5: Solve for x
    x = 96,500,644,617.06/502,105.14
  6. Step 6: Final answer
    x = 192,192.11

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