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Finding the Fourth Proportional to 268,061.38, 369,910.20 and 147,218.56

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Solution

The fourth proportional to 268,061.38, 369,910.20 and 147,218.56 is: 203,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,061.38 : 369,910.20 = 147,218.56 : x
  2. Step 2: Convert to fraction form
    268,061.38/369,910.20 = 147,218.56/x
  3. Step 3: Cross multiply
    268,061.38x = 369,910.20 × 147,218.56
  4. Step 4: Simplify right side
    268,061.38x = 54,457,646,973.31
  5. Step 5: Solve for x
    x = 54,457,646,973.31/268,061.38
  6. Step 6: Final answer
    x = 203,153.65

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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.