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Finding the Fourth Proportional to 106,612.61, 159,919.65 and 73,231.49

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Solution

The fourth proportional to 106,612.61, 159,919.65 and 73,231.49 is: 109,847.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,612.61 : 159,919.65 = 73,231.49 : x
  2. Step 2: Convert to fraction form
    106,612.61/159,919.65 = 73,231.49/x
  3. Step 3: Cross multiply
    106,612.61x = 159,919.65 × 73,231.49
  4. Step 4: Simplify right side
    106,612.61x = 11,711,154,649.58
  5. Step 5: Solve for x
    x = 11,711,154,649.58/106,612.61
  6. Step 6: Final answer
    x = 109,847.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.