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Finding the Fourth Proportional to 130,162.86, 195,244.29 and 67,954.86

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Solution

The fourth proportional to 130,162.86, 195,244.29 and 67,954.86 is: 101,932.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,162.86 : 195,244.29 = 67,954.86 : x
  2. Step 2: Convert to fraction form
    130,162.86/195,244.29 = 67,954.86/x
  3. Step 3: Cross multiply
    130,162.86x = 195,244.29 × 67,954.86
  4. Step 4: Simplify right side
    130,162.86x = 13,267,798,392.75
  5. Step 5: Solve for x
    x = 13,267,798,392.75/130,162.86
  6. Step 6: Final answer
    x = 101,932.29

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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.