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Finding the Fourth Proportional to 102,042.59, 140,817.35 and 56,720.66

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Solution

The fourth proportional to 102,042.59, 140,817.35 and 56,720.66 is: 78,273.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,042.59 : 140,817.35 = 56,720.66 : x
  2. Step 2: Convert to fraction form
    102,042.59/140,817.35 = 56,720.66/x
  3. Step 3: Cross multiply
    102,042.59x = 140,817.35 × 56,720.66
  4. Step 4: Simplify right side
    102,042.59x = 7,987,252,469.17
  5. Step 5: Solve for x
    x = 7,987,252,469.17/102,042.59
  6. Step 6: Final answer
    x = 78,273.72

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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.