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Finding the Fourth Proportional to 101,182.10, 151,675.95 and 78,680.30

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Solution

The fourth proportional to 101,182.10, 151,675.95 and 78,680.30 is: 117,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,182.10 : 151,675.95 = 78,680.30 : x
  2. Step 2: Convert to fraction form
    101,182.10/151,675.95 = 78,680.30/x
  3. Step 3: Cross multiply
    101,182.10x = 151,675.95 × 78,680.30
  4. Step 4: Simplify right side
    101,182.10x = 11,933,909,248.79
  5. Step 5: Solve for x
    x = 11,933,909,248.79/101,182.10
  6. Step 6: Final answer
    x = 117,944.87

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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.