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Finding the Fourth Proportional to 195,713.50, 270,080.02 and 115,146.20

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Solution

The fourth proportional to 195,713.50, 270,080.02 and 115,146.20 is: 158,899.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,713.50 : 270,080.02 = 115,146.20 : x
  2. Step 2: Convert to fraction form
    195,713.50/270,080.02 = 115,146.20/x
  3. Step 3: Cross multiply
    195,713.50x = 270,080.02 × 115,146.20
  4. Step 4: Simplify right side
    195,713.50x = 31,098,687,423.19
  5. Step 5: Solve for x
    x = 31,098,687,423.19/195,713.50
  6. Step 6: Final answer
    x = 158,899.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.