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Finding the Fourth Proportional to 101,983.56, 152,691.84 and 76,948.08

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Solution

The fourth proportional to 101,983.56, 152,691.84 and 76,948.08 is: 115,208.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,983.56 : 152,691.84 = 76,948.08 : x
  2. Step 2: Convert to fraction form
    101,983.56/152,691.84 = 76,948.08/x
  3. Step 3: Cross multiply
    101,983.56x = 152,691.84 × 76,948.08
  4. Step 4: Simplify right side
    101,983.56x = 11,749,343,919.67
  5. Step 5: Solve for x
    x = 11,749,343,919.67/101,983.56
  6. Step 6: Final answer
    x = 115,208.22

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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.