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Finding the Fourth Proportional to 139,879.91, 193,034.24 and 76,217.66

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Solution

The fourth proportional to 139,879.91, 193,034.24 and 76,217.66 is: 105,180.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,879.91 : 193,034.24 = 76,217.66 : x
  2. Step 2: Convert to fraction form
    139,879.91/193,034.24 = 76,217.66/x
  3. Step 3: Cross multiply
    139,879.91x = 193,034.24 × 76,217.66
  4. Step 4: Simplify right side
    139,879.91x = 14,712,617,736.11
  5. Step 5: Solve for x
    x = 14,712,617,736.11/139,879.91
  6. Step 6: Final answer
    x = 105,180.35

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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.