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Finding the Fourth Proportional to 207,910.80, 311,866.20 and 102,934.80

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Solution

The fourth proportional to 207,910.80, 311,866.20 and 102,934.80 is: 154,402.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,910.80 : 311,866.20 = 102,934.80 : x
  2. Step 2: Convert to fraction form
    207,910.80/311,866.20 = 102,934.80/x
  3. Step 3: Cross multiply
    207,910.80x = 311,866.20 × 102,934.80
  4. Step 4: Simplify right side
    207,910.80x = 32,101,884,923.76
  5. Step 5: Solve for x
    x = 32,101,884,923.76/207,910.80
  6. Step 6: Final answer
    x = 154,402.20

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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.