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Finding the Fourth Proportional to 154,406.26, 213,084.42 and 86,422.66

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Solution

The fourth proportional to 154,406.26, 213,084.42 and 86,422.66 is: 119,265.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,406.26 : 213,084.42 = 86,422.66 : x
  2. Step 2: Convert to fraction form
    154,406.26/213,084.42 = 86,422.66/x
  3. Step 3: Cross multiply
    154,406.26x = 213,084.42 × 86,422.66
  4. Step 4: Simplify right side
    154,406.26x = 18,415,322,380.96
  5. Step 5: Solve for x
    x = 18,415,322,380.96/154,406.26
  6. Step 6: Final answer
    x = 119,265.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.