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Finding the Fourth Proportional to 140,490.95, 193,879.04 and 76,827.38

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Solution

The fourth proportional to 140,490.95, 193,879.04 and 76,827.38 is: 106,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,490.95 : 193,879.04 = 76,827.38 : x
  2. Step 2: Convert to fraction form
    140,490.95/193,879.04 = 76,827.38/x
  3. Step 3: Cross multiply
    140,490.95x = 193,879.04 × 76,827.38
  4. Step 4: Simplify right side
    140,490.95x = 14,895,217,326.58
  5. Step 5: Solve for x
    x = 14,895,217,326.58/140,490.95
  6. Step 6: Final answer
    x = 106,022.61

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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.