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Finding the Fourth Proportional to 140,421.64, 193,883.34 and 86,780.20

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Solution

The fourth proportional to 140,421.64, 193,883.34 and 86,780.20 is: 119,819.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,421.64 : 193,883.34 = 86,780.20 : x
  2. Step 2: Convert to fraction form
    140,421.64/193,883.34 = 86,780.20/x
  3. Step 3: Cross multiply
    140,421.64x = 193,883.34 × 86,780.20
  4. Step 4: Simplify right side
    140,421.64x = 16,825,235,021.87
  5. Step 5: Solve for x
    x = 16,825,235,021.87/140,421.64
  6. Step 6: Final answer
    x = 119,819.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.