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Finding the Fourth Proportional to 269,226.30, 403,839.45 and 157,033.20

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Solution

The fourth proportional to 269,226.30, 403,839.45 and 157,033.20 is: 235,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,226.30 : 403,839.45 = 157,033.20 : x
  2. Step 2: Convert to fraction form
    269,226.30/403,839.45 = 157,033.20/x
  3. Step 3: Cross multiply
    269,226.30x = 403,839.45 × 157,033.20
  4. Step 4: Simplify right side
    269,226.30x = 63,416,201,119.74
  5. Step 5: Solve for x
    x = 63,416,201,119.74/269,226.30
  6. Step 6: Final answer
    x = 235,549.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.