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Finding the Fourth Proportional to 106,142.80, 146,471.72 and 58,394.92

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Solution

The fourth proportional to 106,142.80, 146,471.72 and 58,394.92 is: 80,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,142.80 : 146,471.72 = 58,394.92 : x
  2. Step 2: Convert to fraction form
    106,142.80/146,471.72 = 58,394.92/x
  3. Step 3: Cross multiply
    106,142.80x = 146,471.72 × 58,394.92
  4. Step 4: Simplify right side
    106,142.80x = 8,553,204,371.66
  5. Step 5: Solve for x
    x = 8,553,204,371.66/106,142.80
  6. Step 6: Final answer
    x = 80,582.05

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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.