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Finding the Fourth Proportional to 133,097.60, 199,646.40 and 88,191.20

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Solution

The fourth proportional to 133,097.60, 199,646.40 and 88,191.20 is: 132,286.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,097.60 : 199,646.40 = 88,191.20 : x
  2. Step 2: Convert to fraction form
    133,097.60/199,646.40 = 88,191.20/x
  3. Step 3: Cross multiply
    133,097.60x = 199,646.40 × 88,191.20
  4. Step 4: Simplify right side
    133,097.60x = 17,607,055,591.68
  5. Step 5: Solve for x
    x = 17,607,055,591.68/133,097.60
  6. Step 6: Final answer
    x = 132,286.80

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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.