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Finding the Fourth Proportional to 226,691.76, 312,918.84 and 194,732.40

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Solution

The fourth proportional to 226,691.76, 312,918.84 and 194,732.40 is: 268,803.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,691.76 : 312,918.84 = 194,732.40 : x
  2. Step 2: Convert to fraction form
    226,691.76/312,918.84 = 194,732.40/x
  3. Step 3: Cross multiply
    226,691.76x = 312,918.84 × 194,732.40
  4. Step 4: Simplify right side
    226,691.76x = 60,935,436,718.42
  5. Step 5: Solve for x
    x = 60,935,436,718.42/226,691.76
  6. Step 6: Final answer
    x = 268,803.05

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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.