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Finding the Fourth Proportional to 269,217.80, 403,826.70 and 157,024.70

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Solution

The fourth proportional to 269,217.80, 403,826.70 and 157,024.70 is: 235,537.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,217.80 : 403,826.70 = 157,024.70 : x
  2. Step 2: Convert to fraction form
    269,217.80/403,826.70 = 157,024.70/x
  3. Step 3: Cross multiply
    269,217.80x = 403,826.70 × 157,024.70
  4. Step 4: Simplify right side
    269,217.80x = 63,410,766,419.49
  5. Step 5: Solve for x
    x = 63,410,766,419.49/269,217.80
  6. Step 6: Final answer
    x = 235,537.05

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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.