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Finding the Fourth Proportional to 137,797.80, 206,648.10 and 49,054.20

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Solution

The fourth proportional to 137,797.80, 206,648.10 and 49,054.20 is: 73,564.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,797.80 : 206,648.10 = 49,054.20 : x
  2. Step 2: Convert to fraction form
    137,797.80/206,648.10 = 49,054.20/x
  3. Step 3: Cross multiply
    137,797.80x = 206,648.10 × 49,054.20
  4. Step 4: Simplify right side
    137,797.80x = 10,136,957,227.02
  5. Step 5: Solve for x
    x = 10,136,957,227.02/137,797.80
  6. Step 6: Final answer
    x = 73,564.00

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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.