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Finding the Fourth Proportional to 206,814.70, 310,222.05 and 135,955.90

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Solution

The fourth proportional to 206,814.70, 310,222.05 and 135,955.90 is: 203,933.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.70 : 310,222.05 = 135,955.90 : x
  2. Step 2: Convert to fraction form
    206,814.70/310,222.05 = 135,955.90/x
  3. Step 3: Cross multiply
    206,814.70x = 310,222.05 × 135,955.90
  4. Step 4: Simplify right side
    206,814.70x = 42,176,518,007.60
  5. Step 5: Solve for x
    x = 42,176,518,007.60/206,814.70
  6. Step 6: Final answer
    x = 203,933.85

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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.