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Finding the Fourth Proportional to 210,005.10, 315,007.65 and 200,819.70

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Solution

The fourth proportional to 210,005.10, 315,007.65 and 200,819.70 is: 301,229.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,005.10 : 315,007.65 = 200,819.70 : x
  2. Step 2: Convert to fraction form
    210,005.10/315,007.65 = 200,819.70/x
  3. Step 3: Cross multiply
    210,005.10x = 315,007.65 × 200,819.70
  4. Step 4: Simplify right side
    210,005.10x = 63,259,741,770.71
  5. Step 5: Solve for x
    x = 63,259,741,770.71/210,005.10
  6. Step 6: Final answer
    x = 301,229.55

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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.