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Finding the Fourth Proportional to 178,097.60, 267,245.40 and 72,909.20

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Solution

The fourth proportional to 178,097.60, 267,245.40 and 72,909.20 is: 109,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,097.60 : 267,245.40 = 72,909.20 : x
  2. Step 2: Convert to fraction form
    178,097.60/267,245.40 = 72,909.20/x
  3. Step 3: Cross multiply
    178,097.60x = 267,245.40 × 72,909.20
  4. Step 4: Simplify right side
    178,097.60x = 19,484,648,317.68
  5. Step 5: Solve for x
    x = 19,484,648,317.68/178,097.60
  6. Step 6: Final answer
    x = 109,404.33

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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.