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Finding the Fourth Proportional to 106,599.74, 159,865.59 and 43,419.74

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Solution

The fourth proportional to 106,599.74, 159,865.59 and 43,419.74 is: 65,115.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,599.74 : 159,865.59 = 43,419.74 : x
  2. Step 2: Convert to fraction form
    106,599.74/159,865.59 = 43,419.74/x
  3. Step 3: Cross multiply
    106,599.74x = 159,865.59 × 43,419.74
  4. Step 4: Simplify right side
    106,599.74x = 6,941,322,352.75
  5. Step 5: Solve for x
    x = 6,941,322,352.75/106,599.74
  6. Step 6: Final answer
    x = 65,115.75

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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.