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Finding the Fourth Proportional to 102,231, 141,057.54 and 59,781.32

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Solution

The fourth proportional to 102,231, 141,057.54 and 59,781.32 is: 82,485.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,231 : 141,057.54 = 59,781.32 : x
  2. Step 2: Convert to fraction form
    102,231/141,057.54 = 59,781.32/x
  3. Step 3: Cross multiply
    102,231x = 141,057.54 × 59,781.32
  4. Step 4: Simplify right side
    102,231x = 8,432,605,937.15
  5. Step 5: Solve for x
    x = 8,432,605,937.15/102,231
  6. Step 6: Final answer
    x = 82,485.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.