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Finding the Fourth Proportional to 123,894.68, 185,849.08 and 35,141.21

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Solution

The fourth proportional to 123,894.68, 185,849.08 and 35,141.21 is: 52,713.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,894.68 : 185,849.08 = 35,141.21 : x
  2. Step 2: Convert to fraction form
    123,894.68/185,849.08 = 35,141.21/x
  3. Step 3: Cross multiply
    123,894.68x = 185,849.08 × 35,141.21
  4. Step 4: Simplify right side
    123,894.68x = 6,530,960,531.49
  5. Step 5: Solve for x
    x = 6,530,960,531.49/123,894.68
  6. Step 6: Final answer
    x = 52,713.81

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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.