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Finding the Fourth Proportional to 224,186.32, 336,341 and 111,730.78

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Solution

The fourth proportional to 224,186.32, 336,341 and 111,730.78 is: 167,626.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186.32 : 336,341 = 111,730.78 : x
  2. Step 2: Convert to fraction form
    224,186.32/336,341 = 111,730.78/x
  3. Step 3: Cross multiply
    224,186.32x = 336,341 × 111,730.78
  4. Step 4: Simplify right side
    224,186.32x = 37,579,642,275.98
  5. Step 5: Solve for x
    x = 37,579,642,275.98/224,186.32
  6. Step 6: Final answer
    x = 167,626.83

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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.