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Finding the Fourth Proportional to 206,803.52, 310,226.85 and 57,043.83

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Solution

The fourth proportional to 206,803.52, 310,226.85 and 57,043.83 is: 85,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,803.52 : 310,226.85 = 57,043.83 : x
  2. Step 2: Convert to fraction form
    206,803.52/310,226.85 = 57,043.83/x
  3. Step 3: Cross multiply
    206,803.52x = 310,226.85 × 57,043.83
  4. Step 4: Simplify right side
    206,803.52x = 17,696,527,692.84
  5. Step 5: Solve for x
    x = 17,696,527,692.84/206,803.52
  6. Step 6: Final answer
    x = 85,571.70

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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.