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Finding the Fourth Proportional to 122,102.78, 183,521.10 and 101,180.48

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Solution

The fourth proportional to 122,102.78, 183,521.10 and 101,180.48 is: 152,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,102.78 : 183,521.10 = 101,180.48 : x
  2. Step 2: Convert to fraction form
    122,102.78/183,521.10 = 101,180.48/x
  3. Step 3: Cross multiply
    122,102.78x = 183,521.10 × 101,180.48
  4. Step 4: Simplify right side
    122,102.78x = 18,568,752,988.13
  5. Step 5: Solve for x
    x = 18,568,752,988.13/122,102.78
  6. Step 6: Final answer
    x = 152,074.78

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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.