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Finding the Fourth Proportional to 267,204.51, 400,712.23 and 77,625.44

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Solution

The fourth proportional to 267,204.51, 400,712.23 and 77,625.44 is: 116,410.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,204.51 : 400,712.23 = 77,625.44 : x
  2. Step 2: Convert to fraction form
    267,204.51/400,712.23 = 77,625.44/x
  3. Step 3: Cross multiply
    267,204.51x = 400,712.23 × 77,625.44
  4. Step 4: Simplify right side
    267,204.51x = 31,105,463,167.13
  5. Step 5: Solve for x
    x = 31,105,463,167.13/267,204.51
  6. Step 6: Final answer
    x = 116,410.70

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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.