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Finding the Fourth Proportional to 101,221.30, 151,924.10 and 53,876.16

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Solution

The fourth proportional to 101,221.30, 151,924.10 and 53,876.16 is: 80,863.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,221.30 : 151,924.10 = 53,876.16 : x
  2. Step 2: Convert to fraction form
    101,221.30/151,924.10 = 53,876.16/x
  3. Step 3: Cross multiply
    101,221.30x = 151,924.10 × 53,876.16
  4. Step 4: Simplify right side
    101,221.30x = 8,185,087,119.46
  5. Step 5: Solve for x
    x = 8,185,087,119.46/101,221.30
  6. Step 6: Final answer
    x = 80,863.29

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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.