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Finding the Fourth Proportional to 267,497.44, 400,963.37 and 98,909.51

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Solution

The fourth proportional to 267,497.44, 400,963.37 and 98,909.51 is: 148,259.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,497.44 : 400,963.37 = 98,909.51 : x
  2. Step 2: Convert to fraction form
    267,497.44/400,963.37 = 98,909.51/x
  3. Step 3: Cross multiply
    267,497.44x = 400,963.37 × 98,909.51
  4. Step 4: Simplify right side
    267,497.44x = 39,659,087,955.28
  5. Step 5: Solve for x
    x = 39,659,087,955.28/267,497.44
  6. Step 6: Final answer
    x = 148,259.69

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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.