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Finding the Fourth Proportional to 98,159.20, 147,166.80 and 38,965.60

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Solution

The fourth proportional to 98,159.20, 147,166.80 and 38,965.60 is: 58,419.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,159.20 : 147,166.80 = 38,965.60 : x
  2. Step 2: Convert to fraction form
    98,159.20/147,166.80 = 38,965.60/x
  3. Step 3: Cross multiply
    98,159.20x = 147,166.80 × 38,965.60
  4. Step 4: Simplify right side
    98,159.20x = 5,734,442,662.08
  5. Step 5: Solve for x
    x = 5,734,442,662.08/98,159.20
  6. Step 6: Final answer
    x = 58,419.82

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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.