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Finding the Fourth Proportional to 159,537.80, 239,306.70 and 137,376.20

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Solution

The fourth proportional to 159,537.80, 239,306.70 and 137,376.20 is: 206,064.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,537.80 : 239,306.70 = 137,376.20 : x
  2. Step 2: Convert to fraction form
    159,537.80/239,306.70 = 137,376.20/x
  3. Step 3: Cross multiply
    159,537.80x = 239,306.70 × 137,376.20
  4. Step 4: Simplify right side
    159,537.80x = 32,875,045,080.54
  5. Step 5: Solve for x
    x = 32,875,045,080.54/159,537.80
  6. Step 6: Final answer
    x = 206,064.30

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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.