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Finding the Fourth Proportional to 172,943.20, 259,414.80 and 122,204.80

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Solution

The fourth proportional to 172,943.20, 259,414.80 and 122,204.80 is: 183,307.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,943.20 : 259,414.80 = 122,204.80 : x
  2. Step 2: Convert to fraction form
    172,943.20/259,414.80 = 122,204.80/x
  3. Step 3: Cross multiply
    172,943.20x = 259,414.80 × 122,204.80
  4. Step 4: Simplify right side
    172,943.20x = 31,701,733,751.04
  5. Step 5: Solve for x
    x = 31,701,733,751.04/172,943.20
  6. Step 6: Final answer
    x = 183,307.20

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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.