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Finding the Fourth Proportional to 105,958.80, 146,228.09 and 58,216.59

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Solution

The fourth proportional to 105,958.80, 146,228.09 and 58,216.59 is: 80,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,958.80 : 146,228.09 = 58,216.59 : x
  2. Step 2: Convert to fraction form
    105,958.80/146,228.09 = 58,216.59/x
  3. Step 3: Cross multiply
    105,958.80x = 146,228.09 × 58,216.59
  4. Step 4: Simplify right side
    105,958.80x = 8,512,900,470.93
  5. Step 5: Solve for x
    x = 8,512,900,470.93/105,958.80
  6. Step 6: Final answer
    x = 80,341.61

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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.