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Finding the Fourth Proportional to 224,115.80, 335,712.90 and 154,074.20

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Solution

The fourth proportional to 224,115.80, 335,712.90 and 154,074.20 is: 230,794.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,115.80 : 335,712.90 = 154,074.20 : x
  2. Step 2: Convert to fraction form
    224,115.80/335,712.90 = 154,074.20/x
  3. Step 3: Cross multiply
    224,115.80x = 335,712.90 × 154,074.20
  4. Step 4: Simplify right side
    224,115.80x = 51,724,696,497.18
  5. Step 5: Solve for x
    x = 51,724,696,497.18/224,115.80
  6. Step 6: Final answer
    x = 230,794.51

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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.