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Finding the Fourth Proportional to 169,882.38, 234,340.83 and 105,322.14

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Solution

The fourth proportional to 169,882.38, 234,340.83 and 105,322.14 is: 145,284.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,882.38 : 234,340.83 = 105,322.14 : x
  2. Step 2: Convert to fraction form
    169,882.38/234,340.83 = 105,322.14/x
  3. Step 3: Cross multiply
    169,882.38x = 234,340.83 × 105,322.14
  4. Step 4: Simplify right side
    169,882.38x = 24,681,277,704.98
  5. Step 5: Solve for x
    x = 24,681,277,704.98/169,882.38
  6. Step 6: Final answer
    x = 145,284.51

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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.