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Finding the Fourth Proportional to 105,959.80, 146,227.92 and 58,214.20

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Solution

The fourth proportional to 105,959.80, 146,227.92 and 58,214.20 is: 80,337.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,959.80 : 146,227.92 = 58,214.20 : x
  2. Step 2: Convert to fraction form
    105,959.80/146,227.92 = 58,214.20/x
  3. Step 3: Cross multiply
    105,959.80x = 146,227.92 × 58,214.20
  4. Step 4: Simplify right side
    105,959.80x = 8,512,541,380.46
  5. Step 5: Solve for x
    x = 8,512,541,380.46/105,959.80
  6. Step 6: Final answer
    x = 80,337.46

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1.5x scale

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.