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Finding the Fourth Proportional to 188,104.97, 282,151.98 and 54,988.35

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Solution

The fourth proportional to 188,104.97, 282,151.98 and 54,988.35 is: 82,480.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,104.97 : 282,151.98 = 54,988.35 : x
  2. Step 2: Convert to fraction form
    188,104.97/282,151.98 = 54,988.35/x
  3. Step 3: Cross multiply
    188,104.97x = 282,151.98 × 54,988.35
  4. Step 4: Simplify right side
    188,104.97x = 15,515,071,829.43
  5. Step 5: Solve for x
    x = 15,515,071,829.43/188,104.97
  6. Step 6: Final answer
    x = 82,480.92

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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.