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Finding the Fourth Proportional to 106,616.94, 159,881.19 and 43,394.15

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Solution

The fourth proportional to 106,616.94, 159,881.19 and 43,394.15 is: 65,073.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,616.94 : 159,881.19 = 43,394.15 : x
  2. Step 2: Convert to fraction form
    106,616.94/159,881.19 = 43,394.15/x
  3. Step 3: Cross multiply
    106,616.94x = 159,881.19 × 43,394.15
  4. Step 4: Simplify right side
    106,616.94x = 6,937,908,049.82
  5. Step 5: Solve for x
    x = 6,937,908,049.82/106,616.94
  6. Step 6: Final answer
    x = 65,073.23

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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.