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Finding the Fourth Proportional to 269,231.80, 403,847.70 and 157,038.70

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Solution

The fourth proportional to 269,231.80, 403,847.70 and 157,038.70 is: 235,558.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.80 : 403,847.70 = 157,038.70 : x
  2. Step 2: Convert to fraction form
    269,231.80/403,847.70 = 157,038.70/x
  3. Step 3: Cross multiply
    269,231.80x = 403,847.70 × 157,038.70
  4. Step 4: Simplify right side
    269,231.80x = 63,419,717,805.99
  5. Step 5: Solve for x
    x = 63,419,717,805.99/269,231.80
  6. Step 6: Final answer
    x = 235,558.05

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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.