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Finding the Fourth Proportional to 267,546.16, 400,967.16 and 149,273.20

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Solution

The fourth proportional to 267,546.16, 400,967.16 and 149,273.20 is: 223,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,546.16 : 400,967.16 = 149,273.20 : x
  2. Step 2: Convert to fraction form
    267,546.16/400,967.16 = 149,273.20/x
  3. Step 3: Cross multiply
    267,546.16x = 400,967.16 × 149,273.20
  4. Step 4: Simplify right side
    267,546.16x = 59,853,651,068.11
  5. Step 5: Solve for x
    x = 59,853,651,068.11/267,546.16
  6. Step 6: Final answer
    x = 223,713.36

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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.