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Finding the Fourth Proportional to 195,077.70, 269,205.59 and 137,016.02

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Solution

The fourth proportional to 195,077.70, 269,205.59 and 137,016.02 is: 189,080.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,077.70 : 269,205.59 = 137,016.02 : x
  2. Step 2: Convert to fraction form
    195,077.70/269,205.59 = 137,016.02/x
  3. Step 3: Cross multiply
    195,077.70x = 269,205.59 × 137,016.02
  4. Step 4: Simplify right side
    195,077.70x = 36,885,479,519.11
  5. Step 5: Solve for x
    x = 36,885,479,519.11/195,077.70
  6. Step 6: Final answer
    x = 189,080.96

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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.