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Finding the Fourth Proportional to 110,192, 152,065.50 and 59,891

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Solution

The fourth proportional to 110,192, 152,065.50 and 59,891 is: 82,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,192 : 152,065.50 = 59,891 : x
  2. Step 2: Convert to fraction form
    110,192/152,065.50 = 59,891/x
  3. Step 3: Cross multiply
    110,192x = 152,065.50 × 59,891
  4. Step 4: Simplify right side
    110,192x = 9,107,354,860.50
  5. Step 5: Solve for x
    x = 9,107,354,860.50/110,192
  6. Step 6: Final answer
    x = 82,649.87

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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.