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Finding the Fourth Proportional to 98,896.01, 148,333.12 and 27,820.90

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Solution

The fourth proportional to 98,896.01, 148,333.12 and 27,820.90 is: 41,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896.01 : 148,333.12 = 27,820.90 : x
  2. Step 2: Convert to fraction form
    98,896.01/148,333.12 = 27,820.90/x
  3. Step 3: Cross multiply
    98,896.01x = 148,333.12 × 27,820.90
  4. Step 4: Simplify right side
    98,896.01x = 4,126,761,338.59
  5. Step 5: Solve for x
    x = 4,126,761,338.59/98,896.01
  6. Step 6: Final answer
    x = 41,728.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.