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Finding the Fourth Proportional to 159,319.80, 238,979.70 and 137,158.20

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Solution

The fourth proportional to 159,319.80, 238,979.70 and 137,158.20 is: 205,737.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,319.80 : 238,979.70 = 137,158.20 : x
  2. Step 2: Convert to fraction form
    159,319.80/238,979.70 = 137,158.20/x
  3. Step 3: Cross multiply
    159,319.80x = 238,979.70 × 137,158.20
  4. Step 4: Simplify right side
    159,319.80x = 32,778,025,488.54
  5. Step 5: Solve for x
    x = 32,778,025,488.54/159,319.80
  6. Step 6: Final answer
    x = 205,737.30

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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.