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Finding the Fourth Proportional to 118,015.92, 177,023.71 and 54,801.47

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Solution

The fourth proportional to 118,015.92, 177,023.71 and 54,801.47 is: 82,202.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,015.92 : 177,023.71 = 54,801.47 : x
  2. Step 2: Convert to fraction form
    118,015.92/177,023.71 = 54,801.47/x
  3. Step 3: Cross multiply
    118,015.92x = 177,023.71 × 54,801.47
  4. Step 4: Simplify right side
    118,015.92x = 9,701,159,258.85
  5. Step 5: Solve for x
    x = 9,701,159,258.85/118,015.92
  6. Step 6: Final answer
    x = 82,202.13

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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.