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Finding the Fourth Proportional to 120,005.20, 180,007.80 and 75,827.80

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Solution

The fourth proportional to 120,005.20, 180,007.80 and 75,827.80 is: 113,741.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,005.20 : 180,007.80 = 75,827.80 : x
  2. Step 2: Convert to fraction form
    120,005.20/180,007.80 = 75,827.80/x
  3. Step 3: Cross multiply
    120,005.20x = 180,007.80 × 75,827.80
  4. Step 4: Simplify right side
    120,005.20x = 13,649,595,456.84
  5. Step 5: Solve for x
    x = 13,649,595,456.84/120,005.20
  6. Step 6: Final answer
    x = 113,741.70

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1.5x scale

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.