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Finding the Fourth Proportional to 120,347.82, 180,550.89 and 36,107.82

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Solution

The fourth proportional to 120,347.82, 180,550.89 and 36,107.82 is: 54,170.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,347.82 : 180,550.89 = 36,107.82 : x
  2. Step 2: Convert to fraction form
    120,347.82/180,550.89 = 36,107.82/x
  3. Step 3: Cross multiply
    120,347.82x = 180,550.89 × 36,107.82
  4. Step 4: Simplify right side
    120,347.82x = 6,519,299,036.96
  5. Step 5: Solve for x
    x = 6,519,299,036.96/120,347.82
  6. Step 6: Final answer
    x = 54,170.48

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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.