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Finding the Fourth Proportional to 120,738.70, 181,108.05 and 109,852.30

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Solution

The fourth proportional to 120,738.70, 181,108.05 and 109,852.30 is: 164,778.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,738.70 : 181,108.05 = 109,852.30 : x
  2. Step 2: Convert to fraction form
    120,738.70/181,108.05 = 109,852.30/x
  3. Step 3: Cross multiply
    120,738.70x = 181,108.05 × 109,852.30
  4. Step 4: Simplify right side
    120,738.70x = 19,895,135,841.02
  5. Step 5: Solve for x
    x = 19,895,135,841.02/120,738.70
  6. Step 6: Final answer
    x = 164,778.45

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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.