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Finding the Fourth Proportional to 137,419.20, 206,128.80 and 48,772.80

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Solution

The fourth proportional to 137,419.20, 206,128.80 and 48,772.80 is: 73,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,419.20 : 206,128.80 = 48,772.80 : x
  2. Step 2: Convert to fraction form
    137,419.20/206,128.80 = 48,772.80/x
  3. Step 3: Cross multiply
    137,419.20x = 206,128.80 × 48,772.80
  4. Step 4: Simplify right side
    137,419.20x = 10,053,478,736.64
  5. Step 5: Solve for x
    x = 10,053,478,736.64/137,419.20
  6. Step 6: Final answer
    x = 73,159.20

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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.