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Finding the Fourth Proportional to 98,123.20, 147,112.80 and 38,929.60

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Solution

The fourth proportional to 98,123.20, 147,112.80 and 38,929.60 is: 58,365.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,123.20 : 147,112.80 = 38,929.60 : x
  2. Step 2: Convert to fraction form
    98,123.20/147,112.80 = 38,929.60/x
  3. Step 3: Cross multiply
    98,123.20x = 147,112.80 × 38,929.60
  4. Step 4: Simplify right side
    98,123.20x = 5,727,042,458.88
  5. Step 5: Solve for x
    x = 5,727,042,458.88/98,123.20
  6. Step 6: Final answer
    x = 58,365.83

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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.