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Finding the Fourth Proportional to 269,202.70, 403,318.05 and 156,790.90

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Solution

The fourth proportional to 269,202.70, 403,318.05 and 156,790.90 is: 234,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,202.70 : 403,318.05 = 156,790.90 : x
  2. Step 2: Convert to fraction form
    269,202.70/403,318.05 = 156,790.90/x
  3. Step 3: Cross multiply
    269,202.70x = 403,318.05 × 156,790.90
  4. Step 4: Simplify right side
    269,202.70x = 63,236,600,045.75
  5. Step 5: Solve for x
    x = 63,236,600,045.75/269,202.70
  6. Step 6: Final answer
    x = 234,903.29

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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.