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Finding the Fourth Proportional to 106,161.68, 159,277.08 and 50,762

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Solution

The fourth proportional to 106,161.68, 159,277.08 and 50,762 is: 76,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,161.68 : 159,277.08 = 50,762 : x
  2. Step 2: Convert to fraction form
    106,161.68/159,277.08 = 50,762/x
  3. Step 3: Cross multiply
    106,161.68x = 159,277.08 × 50,762
  4. Step 4: Simplify right side
    106,161.68x = 8,085,223,134.96
  5. Step 5: Solve for x
    x = 8,085,223,134.96/106,161.68
  6. Step 6: Final answer
    x = 76,159.53

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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.