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Finding the Fourth Proportional to 105,468.24, 158,151.24 and 38,939.70

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Solution

The fourth proportional to 105,468.24, 158,151.24 and 38,939.70 is: 58,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468.24 : 158,151.24 = 38,939.70 : x
  2. Step 2: Convert to fraction form
    105,468.24/158,151.24 = 38,939.70/x
  3. Step 3: Cross multiply
    105,468.24x = 158,151.24 × 38,939.70
  4. Step 4: Simplify right side
    105,468.24x = 6,158,361,840.23
  5. Step 5: Solve for x
    x = 6,158,361,840.23/105,468.24
  6. Step 6: Final answer
    x = 58,390.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.