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Finding the Fourth Proportional to 158,761.74, 238,120.17 and 53,566.86

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Solution

The fourth proportional to 158,761.74, 238,120.17 and 53,566.86 is: 80,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,761.74 : 238,120.17 = 53,566.86 : x
  2. Step 2: Convert to fraction form
    158,761.74/238,120.17 = 53,566.86/x
  3. Step 3: Cross multiply
    158,761.74x = 238,120.17 × 53,566.86
  4. Step 4: Simplify right side
    158,761.74x = 12,755,349,809.57
  5. Step 5: Solve for x
    x = 12,755,349,809.57/158,761.74
  6. Step 6: Final answer
    x = 80,342.72

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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.