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Finding the Fourth Proportional to 267,068.80, 400,741.28 and 117,414.08

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Solution

The fourth proportional to 267,068.80, 400,741.28 and 117,414.08 is: 176,181.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,068.80 : 400,741.28 = 117,414.08 : x
  2. Step 2: Convert to fraction form
    267,068.80/400,741.28 = 117,414.08/x
  3. Step 3: Cross multiply
    267,068.80x = 400,741.28 × 117,414.08
  4. Step 4: Simplify right side
    267,068.80x = 47,052,668,709.22
  5. Step 5: Solve for x
    x = 47,052,668,709.22/267,068.80
  6. Step 6: Final answer
    x = 176,181.83

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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.