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Finding the Fourth Proportional to 267,684.08, 369,397.67 and 146,824.29

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Solution

The fourth proportional to 267,684.08, 369,397.67 and 146,824.29 is: 202,614.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,684.08 : 369,397.67 = 146,824.29 : x
  2. Step 2: Convert to fraction form
    267,684.08/369,397.67 = 146,824.29/x
  3. Step 3: Cross multiply
    267,684.08x = 369,397.67 × 146,824.29
  4. Step 4: Simplify right side
    267,684.08x = 54,236,549,891.28
  5. Step 5: Solve for x
    x = 54,236,549,891.28/267,684.08
  6. Step 6: Final answer
    x = 202,614.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.