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Finding the Fourth Proportional to 229,586.50, 316,686.40 and 157,841.97

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Solution

The fourth proportional to 229,586.50, 316,686.40 and 157,841.97 is: 217,723.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,586.50 : 316,686.40 = 157,841.97 : x
  2. Step 2: Convert to fraction form
    229,586.50/316,686.40 = 157,841.97/x
  3. Step 3: Cross multiply
    229,586.50x = 316,686.40 × 157,841.97
  4. Step 4: Simplify right side
    229,586.50x = 49,986,405,248.21
  5. Step 5: Solve for x
    x = 49,986,405,248.21/229,586.50
  6. Step 6: Final answer
    x = 217,723.63

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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.