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Finding the Fourth Proportional to 118,375.20, 177,562.80 and 99,712.80

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Solution

The fourth proportional to 118,375.20, 177,562.80 and 99,712.80 is: 149,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,375.20 : 177,562.80 = 99,712.80 : x
  2. Step 2: Convert to fraction form
    118,375.20/177,562.80 = 99,712.80/x
  3. Step 3: Cross multiply
    118,375.20x = 177,562.80 × 99,712.80
  4. Step 4: Simplify right side
    118,375.20x = 17,705,283,963.84
  5. Step 5: Solve for x
    x = 17,705,283,963.84/118,375.20
  6. Step 6: Final answer
    x = 149,569.20

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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.