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Finding the Fourth Proportional to 295,146.13, 407,299.78 and 167,821.73

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Solution

The fourth proportional to 295,146.13, 407,299.78 and 167,821.73 is: 231,592.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,146.13 : 407,299.78 = 167,821.73 : x
  2. Step 2: Convert to fraction form
    295,146.13/407,299.78 = 167,821.73/x
  3. Step 3: Cross multiply
    295,146.13x = 407,299.78 × 167,821.73
  4. Step 4: Simplify right side
    295,146.13x = 68,353,754,306.91
  5. Step 5: Solve for x
    x = 68,353,754,306.91/295,146.13
  6. Step 6: Final answer
    x = 231,592.92

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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.