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Finding the Fourth Proportional to 118,841.88, 178,292.52 and 83,849.88

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Solution

The fourth proportional to 118,841.88, 178,292.52 and 83,849.88 is: 125,795.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,841.88 : 178,292.52 = 83,849.88 : x
  2. Step 2: Convert to fraction form
    118,841.88/178,292.52 = 83,849.88/x
  3. Step 3: Cross multiply
    118,841.88x = 178,292.52 × 83,849.88
  4. Step 4: Simplify right side
    118,841.88x = 14,949,806,406.90
  5. Step 5: Solve for x
    x = 14,949,806,406.90/118,841.88
  6. Step 6: Final answer
    x = 125,795.78

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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.