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Finding the Fourth Proportional to 137,399.90, 206,061.78 and 48,641.72

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Solution

The fourth proportional to 137,399.90, 206,061.78 and 48,641.72 is: 72,949.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,399.90 : 206,061.78 = 48,641.72 : x
  2. Step 2: Convert to fraction form
    137,399.90/206,061.78 = 48,641.72/x
  3. Step 3: Cross multiply
    137,399.90x = 206,061.78 × 48,641.72
  4. Step 4: Simplify right side
    137,399.90x = 10,023,199,405.46
  5. Step 5: Solve for x
    x = 10,023,199,405.46/137,399.90
  6. Step 6: Final answer
    x = 72,949.10

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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.