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Finding the Fourth Proportional to 229,092, 316,285.20 and 149,742.24

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Solution

The fourth proportional to 229,092, 316,285.20 and 149,742.24 is: 206,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,092 : 316,285.20 = 149,742.24 : x
  2. Step 2: Convert to fraction form
    229,092/316,285.20 = 149,742.24/x
  3. Step 3: Cross multiply
    229,092x = 316,285.20 × 149,742.24
  4. Step 4: Simplify right side
    229,092x = 47,361,254,326.85
  5. Step 5: Solve for x
    x = 47,361,254,326.85/229,092
  6. Step 6: Final answer
    x = 206,734.65

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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.