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Finding the Fourth Proportional to 269,216.30, 403,824.45 and 157,023.20

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Solution

The fourth proportional to 269,216.30, 403,824.45 and 157,023.20 is: 235,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,216.30 : 403,824.45 = 157,023.20 : x
  2. Step 2: Convert to fraction form
    269,216.30/403,824.45 = 157,023.20/x
  3. Step 3: Cross multiply
    269,216.30x = 403,824.45 × 157,023.20
  4. Step 4: Simplify right side
    269,216.30x = 63,409,807,377.24
  5. Step 5: Solve for x
    x = 63,409,807,377.24/269,216.30
  6. Step 6: Final answer
    x = 235,534.80

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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.