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Finding the Fourth Proportional to 106,118.65, 159,197.66 and 35,046.21

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Solution

The fourth proportional to 106,118.65, 159,197.66 and 35,046.21 is: 52,575.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,118.65 : 159,197.66 = 35,046.21 : x
  2. Step 2: Convert to fraction form
    106,118.65/159,197.66 = 35,046.21/x
  3. Step 3: Cross multiply
    106,118.65x = 159,197.66 × 35,046.21
  4. Step 4: Simplify right side
    106,118.65x = 5,579,274,580.06
  5. Step 5: Solve for x
    x = 5,579,274,580.06/106,118.65
  6. Step 6: Final answer
    x = 52,575.82

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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.