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Finding the Fourth Proportional to 267,548.16, 400,970.16 and 149,275.20

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Solution

The fourth proportional to 267,548.16, 400,970.16 and 149,275.20 is: 223,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,548.16 : 400,970.16 = 149,275.20 : x
  2. Step 2: Convert to fraction form
    267,548.16/400,970.16 = 149,275.20/x
  3. Step 3: Cross multiply
    267,548.16x = 400,970.16 × 149,275.20
  4. Step 4: Simplify right side
    267,548.16x = 59,854,900,828.03
  5. Step 5: Solve for x
    x = 59,854,900,828.03/267,548.16
  6. Step 6: Final answer
    x = 223,716.36

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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.