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Finding the Fourth Proportional to 188,332.92, 282,498.90 and 118,261.44

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Solution

The fourth proportional to 188,332.92, 282,498.90 and 118,261.44 is: 177,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,332.92 : 282,498.90 = 118,261.44 : x
  2. Step 2: Convert to fraction form
    188,332.92/282,498.90 = 118,261.44/x
  3. Step 3: Cross multiply
    188,332.92x = 282,498.90 × 118,261.44
  4. Step 4: Simplify right side
    188,332.92x = 33,408,726,712.42
  5. Step 5: Solve for x
    x = 33,408,726,712.42/188,332.92
  6. Step 6: Final answer
    x = 177,391.86

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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.