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Finding the Fourth Proportional to 120,595.52, 180,867.18 and 76,162.88

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Solution

The fourth proportional to 120,595.52, 180,867.18 and 76,162.88 is: 114,227.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,595.52 : 180,867.18 = 76,162.88 : x
  2. Step 2: Convert to fraction form
    120,595.52/180,867.18 = 76,162.88/x
  3. Step 3: Cross multiply
    120,595.52x = 180,867.18 × 76,162.88
  4. Step 4: Simplify right side
    120,595.52x = 13,775,365,326.28
  5. Step 5: Solve for x
    x = 13,775,365,326.28/120,595.52
  6. Step 6: Final answer
    x = 114,227.84

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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.