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Finding the Fourth Proportional to 110,049.98, 152,006.38 and 84,862.22

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Solution

The fourth proportional to 110,049.98, 152,006.38 and 84,862.22 is: 117,215.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,049.98 : 152,006.38 = 84,862.22 : x
  2. Step 2: Convert to fraction form
    110,049.98/152,006.38 = 84,862.22/x
  3. Step 3: Cross multiply
    110,049.98x = 152,006.38 × 84,862.22
  4. Step 4: Simplify right side
    110,049.98x = 12,899,598,860.96
  5. Step 5: Solve for x
    x = 12,899,598,860.96/110,049.98
  6. Step 6: Final answer
    x = 117,215.82

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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.