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Finding the Fourth Proportional to 137,796.80, 206,646.60 and 49,053.20

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Solution

The fourth proportional to 137,796.80, 206,646.60 and 49,053.20 is: 73,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,796.80 : 206,646.60 = 49,053.20 : x
  2. Step 2: Convert to fraction form
    137,796.80/206,646.60 = 49,053.20/x
  3. Step 3: Cross multiply
    137,796.80x = 206,646.60 × 49,053.20
  4. Step 4: Simplify right side
    137,796.80x = 10,136,676,999.12
  5. Step 5: Solve for x
    x = 10,136,676,999.12/137,796.80
  6. Step 6: Final answer
    x = 73,562.50

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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.