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Finding the Fourth Proportional to 99,876.15, 137,833.20 and 57,434.68

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Solution

The fourth proportional to 99,876.15, 137,833.20 and 57,434.68 is: 79,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,876.15 : 137,833.20 = 57,434.68 : x
  2. Step 2: Convert to fraction form
    99,876.15/137,833.20 = 57,434.68/x
  3. Step 3: Cross multiply
    99,876.15x = 137,833.20 × 57,434.68
  4. Step 4: Simplify right side
    99,876.15x = 7,916,405,735.38
  5. Step 5: Solve for x
    x = 7,916,405,735.38/99,876.15
  6. Step 6: Final answer
    x = 79,262.22

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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.