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Finding the Fourth Proportional to 266,873.60, 400,275.84 and 100,640

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Solution

The fourth proportional to 266,873.60, 400,275.84 and 100,640 is: 150,946.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,873.60 : 400,275.84 = 100,640 : x
  2. Step 2: Convert to fraction form
    266,873.60/400,275.84 = 100,640/x
  3. Step 3: Cross multiply
    266,873.60x = 400,275.84 × 100,640
  4. Step 4: Simplify right side
    266,873.60x = 40,283,760,537.60
  5. Step 5: Solve for x
    x = 40,283,760,537.60/266,873.60
  6. Step 6: Final answer
    x = 150,946.97

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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.