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Finding the Fourth Proportional to 267,164.11, 400,772.89 and 98,728.66

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Solution

The fourth proportional to 267,164.11, 400,772.89 and 98,728.66 is: 148,102.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,164.11 : 400,772.89 = 98,728.66 : x
  2. Step 2: Convert to fraction form
    267,164.11/400,772.89 = 98,728.66/x
  3. Step 3: Cross multiply
    267,164.11x = 400,772.89 × 98,728.66
  4. Step 4: Simplify right side
    267,164.11x = 39,567,769,515.51
  5. Step 5: Solve for x
    x = 39,567,769,515.51/267,164.11
  6. Step 6: Final answer
    x = 148,102.86

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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.