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Finding the Fourth Proportional to 105,894.52, 146,136.24 and 58,149.88

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Solution

The fourth proportional to 105,894.52, 146,136.24 and 58,149.88 is: 80,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,894.52 : 146,136.24 = 58,149.88 : x
  2. Step 2: Convert to fraction form
    105,894.52/146,136.24 = 58,149.88/x
  3. Step 3: Cross multiply
    105,894.52x = 146,136.24 × 58,149.88
  4. Step 4: Simplify right side
    105,894.52x = 8,497,804,819.65
  5. Step 5: Solve for x
    x = 8,497,804,819.65/105,894.52
  6. Step 6: Final answer
    x = 80,247.82

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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.