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Finding the Fourth Proportional to 105,957.48, 146,223.96 and 58,213.92

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Solution

The fourth proportional to 105,957.48, 146,223.96 and 58,213.92 is: 80,336.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,957.48 : 146,223.96 = 58,213.92 : x
  2. Step 2: Convert to fraction form
    105,957.48/146,223.96 = 58,213.92/x
  3. Step 3: Cross multiply
    105,957.48x = 146,223.96 × 58,213.92
  4. Step 4: Simplify right side
    105,957.48x = 8,512,269,909.52
  5. Step 5: Solve for x
    x = 8,512,269,909.52/105,957.48
  6. Step 6: Final answer
    x = 80,336.66

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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.