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Finding the Fourth Proportional to 194,952.96, 269,079.52 and 126,849.76

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Solution

The fourth proportional to 194,952.96, 269,079.52 and 126,849.76 is: 175,081.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,952.96 : 269,079.52 = 126,849.76 : x
  2. Step 2: Convert to fraction form
    194,952.96/269,079.52 = 126,849.76/x
  3. Step 3: Cross multiply
    194,952.96x = 269,079.52 × 126,849.76
  4. Step 4: Simplify right side
    194,952.96x = 34,132,672,532.92
  5. Step 5: Solve for x
    x = 34,132,672,532.92/194,952.96
  6. Step 6: Final answer
    x = 175,081.58

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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.