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Finding the Fourth Proportional to 106,506.78, 159,764.22 and 35,435.76

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Solution

The fourth proportional to 106,506.78, 159,764.22 and 35,435.76 is: 53,154.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.78 : 159,764.22 = 35,435.76 : x
  2. Step 2: Convert to fraction form
    106,506.78/159,764.22 = 35,435.76/x
  3. Step 3: Cross multiply
    106,506.78x = 159,764.22 × 35,435.76
  4. Step 4: Simplify right side
    106,506.78x = 5,661,366,556.51
  5. Step 5: Solve for x
    x = 5,661,366,556.51/106,506.78
  6. Step 6: Final answer
    x = 53,154.99

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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.