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Finding the Fourth Proportional to 102,306.32, 141,189.80 and 62,021.78

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Solution

The fourth proportional to 102,306.32, 141,189.80 and 62,021.78 is: 85,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,306.32 : 141,189.80 = 62,021.78 : x
  2. Step 2: Convert to fraction form
    102,306.32/141,189.80 = 62,021.78/x
  3. Step 3: Cross multiply
    102,306.32x = 141,189.80 × 62,021.78
  4. Step 4: Simplify right side
    102,306.32x = 8,756,841,697.79
  5. Step 5: Solve for x
    x = 8,756,841,697.79/102,306.32
  6. Step 6: Final answer
    x = 85,594.34

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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.