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Finding the Fourth Proportional to 106,331.40, 159,458.70 and 53,723.40

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Solution

The fourth proportional to 106,331.40, 159,458.70 and 53,723.40 is: 80,565.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,331.40 : 159,458.70 = 53,723.40 : x
  2. Step 2: Convert to fraction form
    106,331.40/159,458.70 = 53,723.40/x
  3. Step 3: Cross multiply
    106,331.40x = 159,458.70 × 53,723.40
  4. Step 4: Simplify right side
    106,331.40x = 8,566,663,523.58
  5. Step 5: Solve for x
    x = 8,566,663,523.58/106,331.40
  6. Step 6: Final answer
    x = 80,565.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.