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Finding the Fourth Proportional to 107,169.31, 147,898.38 and 59,419.63

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Solution

The fourth proportional to 107,169.31, 147,898.38 and 59,419.63 is: 82,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,169.31 : 147,898.38 = 59,419.63 : x
  2. Step 2: Convert to fraction form
    107,169.31/147,898.38 = 59,419.63/x
  3. Step 3: Cross multiply
    107,169.31x = 147,898.38 × 59,419.63
  4. Step 4: Simplify right side
    107,169.31x = 8,788,067,017.20
  5. Step 5: Solve for x
    x = 8,788,067,017.20/107,169.31
  6. Step 6: Final answer
    x = 82,001.71

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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.