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Finding the Fourth Proportional to 102,753.88, 141,743.58 and 83,654.20

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Solution

The fourth proportional to 102,753.88, 141,743.58 and 83,654.20 is: 115,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,753.88 : 141,743.58 = 83,654.20 : x
  2. Step 2: Convert to fraction form
    102,753.88/141,743.58 = 83,654.20/x
  3. Step 3: Cross multiply
    102,753.88x = 141,743.58 × 83,654.20
  4. Step 4: Simplify right side
    102,753.88x = 11,857,445,790.04
  5. Step 5: Solve for x
    x = 11,857,445,790.04/102,753.88
  6. Step 6: Final answer
    x = 115,396.57

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Why These Related Problems?

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