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Finding the Fourth Proportional to 206,814.40, 310,221.60 and 135,955.60

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Solution

The fourth proportional to 206,814.40, 310,221.60 and 135,955.60 is: 203,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,814.40 : 310,221.60 = 135,955.60 : x
  2. Step 2: Convert to fraction form
    206,814.40/310,221.60 = 135,955.60/x
  3. Step 3: Cross multiply
    206,814.40x = 310,221.60 × 135,955.60
  4. Step 4: Simplify right side
    206,814.40x = 42,176,363,760.96
  5. Step 5: Solve for x
    x = 42,176,363,760.96/206,814.40
  6. Step 6: Final answer
    x = 203,933.40

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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.