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Finding the Fourth Proportional to 229,084, 316,274.16 and 149,734.24

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Solution

The fourth proportional to 229,084, 316,274.16 and 149,734.24 is: 206,723.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,084 : 316,274.16 = 149,734.24 : x
  2. Step 2: Convert to fraction form
    229,084/316,274.16 = 149,734.24/x
  3. Step 3: Cross multiply
    229,084x = 316,274.16 × 149,734.24
  4. Step 4: Simplify right side
    229,084x = 47,357,070,979.24
  5. Step 5: Solve for x
    x = 47,357,070,979.24/229,084
  6. Step 6: Final answer
    x = 206,723.61

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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.