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Finding the Fourth Proportional to 130,226.40, 195,728.40 and 113,119.20

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Solution

The fourth proportional to 130,226.40, 195,728.40 and 113,119.20 is: 170,016.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,226.40 : 195,728.40 = 113,119.20 : x
  2. Step 2: Convert to fraction form
    130,226.40/195,728.40 = 113,119.20/x
  3. Step 3: Cross multiply
    130,226.40x = 195,728.40 × 113,119.20
  4. Step 4: Simplify right side
    130,226.40x = 22,140,640,025.28
  5. Step 5: Solve for x
    x = 22,140,640,025.28/130,226.40
  6. Step 6: Final answer
    x = 170,016.53

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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.