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Finding the Fourth Proportional to 120,507.44, 180,724.66 and 36,245.23

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Solution

The fourth proportional to 120,507.44, 180,724.66 and 36,245.23 is: 54,356.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,507.44 : 180,724.66 = 36,245.23 : x
  2. Step 2: Convert to fraction form
    120,507.44/180,724.66 = 36,245.23/x
  3. Step 3: Cross multiply
    120,507.44x = 180,724.66 × 36,245.23
  4. Step 4: Simplify right side
    120,507.44x = 6,550,406,325.95
  5. Step 5: Solve for x
    x = 6,550,406,325.95/120,507.44
  6. Step 6: Final answer
    x = 54,356.86

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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.