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Finding the Fourth Proportional to 136,978.80, 205,468.20 and 84,490.80

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Solution

The fourth proportional to 136,978.80, 205,468.20 and 84,490.80 is: 126,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,978.80 : 205,468.20 = 84,490.80 : x
  2. Step 2: Convert to fraction form
    136,978.80/205,468.20 = 84,490.80/x
  3. Step 3: Cross multiply
    136,978.80x = 205,468.20 × 84,490.80
  4. Step 4: Simplify right side
    136,978.80x = 17,360,172,592.56
  5. Step 5: Solve for x
    x = 17,360,172,592.56/136,978.80
  6. Step 6: Final answer
    x = 126,736.20

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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.