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Finding the Fourth Proportional to 120,788.91, 166,713.15 and 69,803.78

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Solution

The fourth proportional to 120,788.91, 166,713.15 and 69,803.78 is: 96,343.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,788.91 : 166,713.15 = 69,803.78 : x
  2. Step 2: Convert to fraction form
    120,788.91/166,713.15 = 69,803.78/x
  3. Step 3: Cross multiply
    120,788.91x = 166,713.15 × 69,803.78
  4. Step 4: Simplify right side
    120,788.91x = 11,637,207,212.14
  5. Step 5: Solve for x
    x = 11,637,207,212.14/120,788.91
  6. Step 6: Final answer
    x = 96,343.34

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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.