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Finding the Fourth Proportional to 105,470.92, 158,201.34 and 38,906.20

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Solution

The fourth proportional to 105,470.92, 158,201.34 and 38,906.20 is: 58,357.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,470.92 : 158,201.34 = 38,906.20 : x
  2. Step 2: Convert to fraction form
    105,470.92/158,201.34 = 38,906.20/x
  3. Step 3: Cross multiply
    105,470.92x = 158,201.34 × 38,906.20
  4. Step 4: Simplify right side
    105,470.92x = 6,155,012,974.31
  5. Step 5: Solve for x
    x = 6,155,012,974.31/105,470.92
  6. Step 6: Final answer
    x = 58,357.44

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1.5x scale

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.