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Finding the Fourth Proportional to 267,214.30, 400,821.45 and 127,246.30

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Solution

The fourth proportional to 267,214.30, 400,821.45 and 127,246.30 is: 190,869.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,214.30 : 400,821.45 = 127,246.30 : x
  2. Step 2: Convert to fraction form
    267,214.30/400,821.45 = 127,246.30/x
  3. Step 3: Cross multiply
    267,214.30x = 400,821.45 × 127,246.30
  4. Step 4: Simplify right side
    267,214.30x = 51,003,046,473.14
  5. Step 5: Solve for x
    x = 51,003,046,473.14/267,214.30
  6. Step 6: Final answer
    x = 190,869.45

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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.