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Finding the Fourth Proportional to 98,223.76, 135,542.58 and 57,939.16

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Solution

The fourth proportional to 98,223.76, 135,542.58 and 57,939.16 is: 79,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,223.76 : 135,542.58 = 57,939.16 : x
  2. Step 2: Convert to fraction form
    98,223.76/135,542.58 = 57,939.16/x
  3. Step 3: Cross multiply
    98,223.76x = 135,542.58 × 57,939.16
  4. Step 4: Simplify right side
    98,223.76x = 7,853,223,229.43
  5. Step 5: Solve for x
    x = 7,853,223,229.43/98,223.76
  6. Step 6: Final answer
    x = 79,952.38

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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.