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Finding the Fourth Proportional to 267,400.78, 401,092.94 and 109,510.32

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Solution

The fourth proportional to 267,400.78, 401,092.94 and 109,510.32 is: 164,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,400.78 : 401,092.94 = 109,510.32 : x
  2. Step 2: Convert to fraction form
    267,400.78/401,092.94 = 109,510.32/x
  3. Step 3: Cross multiply
    267,400.78x = 401,092.94 × 109,510.32
  4. Step 4: Simplify right side
    267,400.78x = 43,923,813,656.12
  5. Step 5: Solve for x
    x = 43,923,813,656.12/267,400.78
  6. Step 6: Final answer
    x = 164,262.10

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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.