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Finding the Fourth Proportional to 103,134.60, 142,298.31 and 59,516.10

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Solution

The fourth proportional to 103,134.60, 142,298.31 and 59,516.10 is: 82,116.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,134.60 : 142,298.31 = 59,516.10 : x
  2. Step 2: Convert to fraction form
    103,134.60/142,298.31 = 59,516.10/x
  3. Step 3: Cross multiply
    103,134.60x = 142,298.31 × 59,516.10
  4. Step 4: Simplify right side
    103,134.60x = 8,469,040,447.79
  5. Step 5: Solve for x
    x = 8,469,040,447.79/103,134.60
  6. Step 6: Final answer
    x = 82,116.38

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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.