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Finding the Fourth Proportional to 98,893.80, 136,471.14 and 54,180.84

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Solution

The fourth proportional to 98,893.80, 136,471.14 and 54,180.84 is: 74,768.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,893.80 : 136,471.14 = 54,180.84 : x
  2. Step 2: Convert to fraction form
    98,893.80/136,471.14 = 54,180.84/x
  3. Step 3: Cross multiply
    98,893.80x = 136,471.14 × 54,180.84
  4. Step 4: Simplify right side
    98,893.80x = 7,394,121,000.96
  5. Step 5: Solve for x
    x = 7,394,121,000.96/98,893.80
  6. Step 6: Final answer
    x = 74,768.30

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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.