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Finding the Fourth Proportional to 229,653.98, 316,933.05 and 127,689.82

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Solution

The fourth proportional to 229,653.98, 316,933.05 and 127,689.82 is: 176,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,653.98 : 316,933.05 = 127,689.82 : x
  2. Step 2: Convert to fraction form
    229,653.98/316,933.05 = 127,689.82/x
  3. Step 3: Cross multiply
    229,653.98x = 316,933.05 × 127,689.82
  4. Step 4: Simplify right side
    229,653.98x = 40,469,123,793.06
  5. Step 5: Solve for x
    x = 40,469,123,793.06/229,653.98
  6. Step 6: Final answer
    x = 176,217.82

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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.