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Finding the Fourth Proportional to 140,494.68, 193,879.98 and 76,832.28

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Solution

The fourth proportional to 140,494.68, 193,879.98 and 76,832.28 is: 106,027.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,494.68 : 193,879.98 = 76,832.28 : x
  2. Step 2: Convert to fraction form
    140,494.68/193,879.98 = 76,832.28/x
  3. Step 3: Cross multiply
    140,494.68x = 193,879.98 × 76,832.28
  4. Step 4: Simplify right side
    140,494.68x = 14,896,240,909.75
  5. Step 5: Solve for x
    x = 14,896,240,909.75/140,494.68
  6. Step 6: Final answer
    x = 106,027.08

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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.