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Finding the Fourth Proportional to 161,716.80, 242,575.20 and 138,097.20

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Solution

The fourth proportional to 161,716.80, 242,575.20 and 138,097.20 is: 207,145.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,716.80 : 242,575.20 = 138,097.20 : x
  2. Step 2: Convert to fraction form
    161,716.80/242,575.20 = 138,097.20/x
  3. Step 3: Cross multiply
    161,716.80x = 242,575.20 × 138,097.20
  4. Step 4: Simplify right side
    161,716.80x = 33,498,955,909.44
  5. Step 5: Solve for x
    x = 33,498,955,909.44/161,716.80
  6. Step 6: Final answer
    x = 207,145.80

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1.5x scale

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.