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Finding the Fourth Proportional to 154,039.80, 231,059.70 and 137,710.20

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Solution

The fourth proportional to 154,039.80, 231,059.70 and 137,710.20 is: 206,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,039.80 : 231,059.70 = 137,710.20 : x
  2. Step 2: Convert to fraction form
    154,039.80/231,059.70 = 137,710.20/x
  3. Step 3: Cross multiply
    154,039.80x = 231,059.70 × 137,710.20
  4. Step 4: Simplify right side
    154,039.80x = 31,819,277,498.94
  5. Step 5: Solve for x
    x = 31,819,277,498.94/154,039.80
  6. Step 6: Final answer
    x = 206,565.30

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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.