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Finding the Fourth Proportional to 137,552.80, 206,261.13 and 48,793.00

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Solution

The fourth proportional to 137,552.80, 206,261.13 and 48,793.00 is: 73,165.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,552.80 : 206,261.13 = 48,793.00 : x
  2. Step 2: Convert to fraction form
    137,552.80/206,261.13 = 48,793.00/x
  3. Step 3: Cross multiply
    137,552.80x = 206,261.13 × 48,793.00
  4. Step 4: Simplify right side
    137,552.80x = 10,064,098,284.78
  5. Step 5: Solve for x
    x = 10,064,098,284.78/137,552.80
  6. Step 6: Final answer
    x = 73,165.35

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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.