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Finding the Fourth Proportional to 120,770.57, 180,959.01 and 95,674.74

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Solution

The fourth proportional to 120,770.57, 180,959.01 and 95,674.74 is: 143,356.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,770.57 : 180,959.01 = 95,674.74 : x
  2. Step 2: Convert to fraction form
    120,770.57/180,959.01 = 95,674.74/x
  3. Step 3: Cross multiply
    120,770.57x = 180,959.01 × 95,674.74
  4. Step 4: Simplify right side
    120,770.57x = 17,313,207,260.04
  5. Step 5: Solve for x
    x = 17,313,207,260.04/120,770.57
  6. Step 6: Final answer
    x = 143,356.18

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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.