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Finding the Fourth Proportional to 112,065.41, 154,649.90 and 61,764.41

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Solution

The fourth proportional to 112,065.41, 154,649.90 and 61,764.41 is: 85,234.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,065.41 : 154,649.90 = 61,764.41 : x
  2. Step 2: Convert to fraction form
    112,065.41/154,649.90 = 61,764.41/x
  3. Step 3: Cross multiply
    112,065.41x = 154,649.90 × 61,764.41
  4. Step 4: Simplify right side
    112,065.41x = 9,551,858,747.99
  5. Step 5: Solve for x
    x = 9,551,858,747.99/112,065.41
  6. Step 6: Final answer
    x = 85,234.68

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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.