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Finding the Fourth Proportional to 159,429.20, 239,057.40 and 65,829.20

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Solution

The fourth proportional to 159,429.20, 239,057.40 and 65,829.20 is: 98,708.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,429.20 : 239,057.40 = 65,829.20 : x
  2. Step 2: Convert to fraction form
    159,429.20/239,057.40 = 65,829.20/x
  3. Step 3: Cross multiply
    159,429.20x = 239,057.40 × 65,829.20
  4. Step 4: Simplify right side
    159,429.20x = 15,736,957,396.08
  5. Step 5: Solve for x
    x = 15,736,957,396.08/159,429.20
  6. Step 6: Final answer
    x = 98,708.12

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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.