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Finding the Fourth Proportional to 132,565.36, 182,870.46 and 78,812.14

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Solution

The fourth proportional to 132,565.36, 182,870.46 and 78,812.14 is: 108,719.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,565.36 : 182,870.46 = 78,812.14 : x
  2. Step 2: Convert to fraction form
    132,565.36/182,870.46 = 78,812.14/x
  3. Step 3: Cross multiply
    132,565.36x = 182,870.46 × 78,812.14
  4. Step 4: Simplify right side
    132,565.36x = 14,412,412,295.38
  5. Step 5: Solve for x
    x = 14,412,412,295.38/132,565.36
  6. Step 6: Final answer
    x = 108,719.29

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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.