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Finding the Fourth Proportional to 227,414.60, 340,465.80 and 138,841.10

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Solution

The fourth proportional to 227,414.60, 340,465.80 and 138,841.10 is: 207,861.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,414.60 : 340,465.80 = 138,841.10 : x
  2. Step 2: Convert to fraction form
    227,414.60/340,465.80 = 138,841.10/x
  3. Step 3: Cross multiply
    227,414.60x = 340,465.80 × 138,841.10
  4. Step 4: Simplify right side
    227,414.60x = 47,270,646,184.38
  5. Step 5: Solve for x
    x = 47,270,646,184.38/227,414.60
  6. Step 6: Final answer
    x = 207,861.09

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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.