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Finding the Fourth Proportional to 140,081.86, 193,347.84 and 86,410.90

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Solution

The fourth proportional to 140,081.86, 193,347.84 and 86,410.90 is: 119,268.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,081.86 : 193,347.84 = 86,410.90 : x
  2. Step 2: Convert to fraction form
    140,081.86/193,347.84 = 86,410.90/x
  3. Step 3: Cross multiply
    140,081.86x = 193,347.84 × 86,410.90
  4. Step 4: Simplify right side
    140,081.86x = 16,707,360,867.46
  5. Step 5: Solve for x
    x = 16,707,360,867.46/140,081.86
  6. Step 6: Final answer
    x = 119,268.55

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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.