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Finding the Fourth Proportional to 120,471.12, 180,704.88 and 37,365.12

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Solution

The fourth proportional to 120,471.12, 180,704.88 and 37,365.12 is: 56,047.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,471.12 : 180,704.88 = 37,365.12 : x
  2. Step 2: Convert to fraction form
    120,471.12/180,704.88 = 37,365.12/x
  3. Step 3: Cross multiply
    120,471.12x = 180,704.88 × 37,365.12
  4. Step 4: Simplify right side
    120,471.12x = 6,752,059,525.79
  5. Step 5: Solve for x
    x = 6,752,059,525.79/120,471.12
  6. Step 6: Final answer
    x = 56,047.12

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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.