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Finding the Fourth Proportional to 207,970.70, 311,956.05 and 102,767.90

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Solution

The fourth proportional to 207,970.70, 311,956.05 and 102,767.90 is: 154,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.70 : 311,956.05 = 102,767.90 : x
  2. Step 2: Convert to fraction form
    207,970.70/311,956.05 = 102,767.90/x
  3. Step 3: Cross multiply
    207,970.70x = 311,956.05 × 102,767.90
  4. Step 4: Simplify right side
    207,970.70x = 32,059,068,150.80
  5. Step 5: Solve for x
    x = 32,059,068,150.80/207,970.70
  6. Step 6: Final answer
    x = 154,151.85

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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.