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Finding the Fourth Proportional to 224,250.74, 309,462.06 and 122,277

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Solution

The fourth proportional to 224,250.74, 309,462.06 and 122,277 is: 168,740.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,250.74 : 309,462.06 = 122,277 : x
  2. Step 2: Convert to fraction form
    224,250.74/309,462.06 = 122,277/x
  3. Step 3: Cross multiply
    224,250.74x = 309,462.06 × 122,277
  4. Step 4: Simplify right side
    224,250.74x = 37,840,092,310.62
  5. Step 5: Solve for x
    x = 37,840,092,310.62/224,250.74
  6. Step 6: Final answer
    x = 168,740.10

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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.