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Finding the Fourth Proportional to 267,538.72, 401,275.26 and 155,280

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Solution

The fourth proportional to 267,538.72, 401,275.26 and 155,280 is: 232,900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,538.72 : 401,275.26 = 155,280 : x
  2. Step 2: Convert to fraction form
    267,538.72/401,275.26 = 155,280/x
  3. Step 3: Cross multiply
    267,538.72x = 401,275.26 × 155,280
  4. Step 4: Simplify right side
    267,538.72x = 62,310,022,372.80
  5. Step 5: Solve for x
    x = 62,310,022,372.80/267,538.72
  6. Step 6: Final answer
    x = 232,900.95

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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.