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Finding the Fourth Proportional to 226,960.68, 340,342.56 and 77,160.74

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Solution

The fourth proportional to 226,960.68, 340,342.56 and 77,160.74 is: 115,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,960.68 : 340,342.56 = 77,160.74 : x
  2. Step 2: Convert to fraction form
    226,960.68/340,342.56 = 77,160.74/x
  3. Step 3: Cross multiply
    226,960.68x = 340,342.56 × 77,160.74
  4. Step 4: Simplify right side
    226,960.68x = 26,261,082,081.38
  5. Step 5: Solve for x
    x = 26,261,082,081.38/226,960.68
  6. Step 6: Final answer
    x = 115,707.63

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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.