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Finding the Fourth Proportional to 98,944.75, 148,417.13 and 43,540.75

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Solution

The fourth proportional to 98,944.75, 148,417.13 and 43,540.75 is: 65,311.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,944.75 : 148,417.13 = 43,540.75 : x
  2. Step 2: Convert to fraction form
    98,944.75/148,417.13 = 43,540.75/x
  3. Step 3: Cross multiply
    98,944.75x = 148,417.13 × 43,540.75
  4. Step 4: Simplify right side
    98,944.75x = 6,462,193,153.05
  5. Step 5: Solve for x
    x = 6,462,193,153.05/98,944.75
  6. Step 6: Final answer
    x = 65,311.13

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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.