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Finding the Fourth Proportional to 107,092.26, 147,788.56 and 59,346.42

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Solution

The fourth proportional to 107,092.26, 147,788.56 and 59,346.42 is: 81,898.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,092.26 : 147,788.56 = 59,346.42 : x
  2. Step 2: Convert to fraction form
    107,092.26/147,788.56 = 59,346.42/x
  3. Step 3: Cross multiply
    107,092.26x = 147,788.56 × 59,346.42
  4. Step 4: Simplify right side
    107,092.26x = 8,770,721,952.96
  5. Step 5: Solve for x
    x = 8,770,721,952.96/107,092.26
  6. Step 6: Final answer
    x = 81,898.75

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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.