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Finding the Fourth Proportional to 165,343.92, 227,963.28 and 107,097.84

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Solution

The fourth proportional to 165,343.92, 227,963.28 and 107,097.84 is: 147,658.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,343.92 : 227,963.28 = 107,097.84 : x
  2. Step 2: Convert to fraction form
    165,343.92/227,963.28 = 107,097.84/x
  3. Step 3: Cross multiply
    165,343.92x = 227,963.28 × 107,097.84
  4. Step 4: Simplify right side
    165,343.92x = 24,414,374,887.32
  5. Step 5: Solve for x
    x = 24,414,374,887.32/165,343.92
  6. Step 6: Final answer
    x = 147,658.14

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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.