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Finding the Fourth Proportional to 98,193.94, 135,508.55 and 55,753.38

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Solution

The fourth proportional to 98,193.94, 135,508.55 and 55,753.38 is: 76,940.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,193.94 : 135,508.55 = 55,753.38 : x
  2. Step 2: Convert to fraction form
    98,193.94/135,508.55 = 55,753.38/x
  3. Step 3: Cross multiply
    98,193.94x = 135,508.55 × 55,753.38
  4. Step 4: Simplify right side
    98,193.94x = 7,555,059,402.63
  5. Step 5: Solve for x
    x = 7,555,059,402.63/98,193.94
  6. Step 6: Final answer
    x = 76,940.18

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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.