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Finding the Fourth Proportional to 120,965.20, 181,447.80 and 83,640.40

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Solution

The fourth proportional to 120,965.20, 181,447.80 and 83,640.40 is: 125,460.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,965.20 : 181,447.80 = 83,640.40 : x
  2. Step 2: Convert to fraction form
    120,965.20/181,447.80 = 83,640.40/x
  3. Step 3: Cross multiply
    120,965.20x = 181,447.80 × 83,640.40
  4. Step 4: Simplify right side
    120,965.20x = 15,176,366,571.12
  5. Step 5: Solve for x
    x = 15,176,366,571.12/120,965.20
  6. Step 6: Final answer
    x = 125,460.60

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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.