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Finding the Fourth Proportional to 475,902.50, 713,777.16 and 138,864.02

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Solution

The fourth proportional to 475,902.50, 713,777.16 and 138,864.02 is: 208,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,902.50 : 713,777.16 = 138,864.02 : x
  2. Step 2: Convert to fraction form
    475,902.50/713,777.16 = 138,864.02/x
  3. Step 3: Cross multiply
    475,902.50x = 713,777.16 × 138,864.02
  4. Step 4: Simplify right side
    475,902.50x = 99,117,965,821.78
  5. Step 5: Solve for x
    x = 99,117,965,821.78/475,902.50
  6. Step 6: Final answer
    x = 208,273.68

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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.