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Finding the Fourth Proportional to 106,540.71, 159,764.58 and 56,608.76

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Solution

The fourth proportional to 106,540.71, 159,764.58 and 56,608.76 is: 84,888.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,540.71 : 159,764.58 = 56,608.76 : x
  2. Step 2: Convert to fraction form
    106,540.71/159,764.58 = 56,608.76/x
  3. Step 3: Cross multiply
    106,540.71x = 159,764.58 × 56,608.76
  4. Step 4: Simplify right side
    106,540.71x = 9,044,074,765.72
  5. Step 5: Solve for x
    x = 9,044,074,765.72/106,540.71
  6. Step 6: Final answer
    x = 84,888.44

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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.