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Finding the Fourth Proportional to 98,250.52, 135,448.43 and 83,082.31

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Solution

The fourth proportional to 98,250.52, 135,448.43 and 83,082.31 is: 114,537.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,250.52 : 135,448.43 = 83,082.31 : x
  2. Step 2: Convert to fraction form
    98,250.52/135,448.43 = 83,082.31/x
  3. Step 3: Cross multiply
    98,250.52x = 135,448.43 × 83,082.31
  4. Step 4: Simplify right side
    98,250.52x = 11,253,367,929.91
  5. Step 5: Solve for x
    x = 11,253,367,929.91/98,250.52
  6. Step 6: Final answer
    x = 114,537.49

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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.