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Finding the Fourth Proportional to 227,578.47, 341,375.01 and 77,812.71

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Solution

The fourth proportional to 227,578.47, 341,375.01 and 77,812.71 is: 116,721.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,578.47 : 341,375.01 = 77,812.71 : x
  2. Step 2: Convert to fraction form
    227,578.47/341,375.01 = 77,812.71/x
  3. Step 3: Cross multiply
    227,578.47x = 341,375.01 × 77,812.71
  4. Step 4: Simplify right side
    227,578.47x = 26,563,314,654.38
  5. Step 5: Solve for x
    x = 26,563,314,654.38/227,578.47
  6. Step 6: Final answer
    x = 116,721.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.