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Finding the Fourth Proportional to 102,691.20, 153,818.10 and 83,008.20

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Solution

The fourth proportional to 102,691.20, 153,818.10 and 83,008.20 is: 124,335.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,691.20 : 153,818.10 = 83,008.20 : x
  2. Step 2: Convert to fraction form
    102,691.20/153,818.10 = 83,008.20/x
  3. Step 3: Cross multiply
    102,691.20x = 153,818.10 × 83,008.20
  4. Step 4: Simplify right side
    102,691.20x = 12,768,163,608.42
  5. Step 5: Solve for x
    x = 12,768,163,608.42/102,691.20
  6. Step 6: Final answer
    x = 124,335.52

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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.