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Finding the Fourth Proportional to 109,195.38, 150,689.54 and 61,448.76

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Solution

The fourth proportional to 109,195.38, 150,689.54 and 61,448.76 is: 84,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,195.38 : 150,689.54 = 61,448.76 : x
  2. Step 2: Convert to fraction form
    109,195.38/150,689.54 = 61,448.76/x
  3. Step 3: Cross multiply
    109,195.38x = 150,689.54 × 61,448.76
  4. Step 4: Simplify right side
    109,195.38x = 9,259,685,531.59
  5. Step 5: Solve for x
    x = 9,259,685,531.59/109,195.38
  6. Step 6: Final answer
    x = 84,799.24

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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.