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Finding the Fourth Proportional to 267,179.83, 400,796.07 and 77,641.85

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Solution

The fourth proportional to 267,179.83, 400,796.07 and 77,641.85 is: 116,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,179.83 : 400,796.07 = 77,641.85 : x
  2. Step 2: Convert to fraction form
    267,179.83/400,796.07 = 77,641.85/x
  3. Step 3: Cross multiply
    267,179.83x = 400,796.07 × 77,641.85
  4. Step 4: Simplify right side
    267,179.83x = 31,118,549,058.36
  5. Step 5: Solve for x
    x = 31,118,549,058.36/267,179.83
  6. Step 6: Final answer
    x = 116,470.43

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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.