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Finding the Fourth Proportional to 195,709.92, 293,472.36 and 75,823.04

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Solution

The fourth proportional to 195,709.92, 293,472.36 and 75,823.04 is: 113,698.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,709.92 : 293,472.36 = 75,823.04 : x
  2. Step 2: Convert to fraction form
    195,709.92/293,472.36 = 75,823.04/x
  3. Step 3: Cross multiply
    195,709.92x = 293,472.36 × 75,823.04
  4. Step 4: Simplify right side
    195,709.92x = 22,251,966,491.17
  5. Step 5: Solve for x
    x = 22,251,966,491.17/195,709.92
  6. Step 6: Final answer
    x = 113,698.72

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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.