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Finding the Fourth Proportional to 118,443.20, 177,319.20 and 106,001.60

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Solution

The fourth proportional to 118,443.20, 177,319.20 and 106,001.60 is: 158,693.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,443.20 : 177,319.20 = 106,001.60 : x
  2. Step 2: Convert to fraction form
    118,443.20/177,319.20 = 106,001.60/x
  3. Step 3: Cross multiply
    118,443.20x = 177,319.20 × 106,001.60
  4. Step 4: Simplify right side
    118,443.20x = 18,796,118,910.72
  5. Step 5: Solve for x
    x = 18,796,118,910.72/118,443.20
  6. Step 6: Final answer
    x = 158,693.10

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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.