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Finding the Fourth Proportional to 195,398.92, 269,701.22 and 110,565.20

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Solution

The fourth proportional to 195,398.92, 269,701.22 and 110,565.20 is: 152,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,398.92 : 269,701.22 = 110,565.20 : x
  2. Step 2: Convert to fraction form
    195,398.92/269,701.22 = 110,565.20/x
  3. Step 3: Cross multiply
    195,398.92x = 269,701.22 × 110,565.20
  4. Step 4: Simplify right side
    195,398.92x = 29,819,569,329.54
  5. Step 5: Solve for x
    x = 29,819,569,329.54/195,398.92
  6. Step 6: Final answer
    x = 152,608.67

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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.