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Finding the Fourth Proportional to 102,116.27, 140,899.59 and 59,666.60

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Solution

The fourth proportional to 102,116.27, 140,899.59 and 59,666.60 is: 82,327.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,116.27 : 140,899.59 = 59,666.60 : x
  2. Step 2: Convert to fraction form
    102,116.27/140,899.59 = 59,666.60/x
  3. Step 3: Cross multiply
    102,116.27x = 140,899.59 × 59,666.60
  4. Step 4: Simplify right side
    102,116.27x = 8,406,998,772.20
  5. Step 5: Solve for x
    x = 8,406,998,772.20/102,116.27
  6. Step 6: Final answer
    x = 82,327.72

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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.