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Finding the Fourth Proportional to 229,202.66, 316,262.68 and 132,391.13

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Solution

The fourth proportional to 229,202.66, 316,262.68 and 132,391.13 is: 182,678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,202.66 : 316,262.68 = 132,391.13 : x
  2. Step 2: Convert to fraction form
    229,202.66/316,262.68 = 132,391.13/x
  3. Step 3: Cross multiply
    229,202.66x = 316,262.68 × 132,391.13
  4. Step 4: Simplify right side
    229,202.66x = 41,870,371,669.74
  5. Step 5: Solve for x
    x = 41,870,371,669.74/229,202.66
  6. Step 6: Final answer
    x = 182,678.38

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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.