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Finding the Fourth Proportional to 106,508.78, 159,767.22 and 35,437.76

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Solution

The fourth proportional to 106,508.78, 159,767.22 and 35,437.76 is: 53,157.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,508.78 : 159,767.22 = 35,437.76 : x
  2. Step 2: Convert to fraction form
    106,508.78/159,767.22 = 35,437.76/x
  3. Step 3: Cross multiply
    106,508.78x = 159,767.22 × 35,437.76
  4. Step 4: Simplify right side
    106,508.78x = 5,661,792,398.23
  5. Step 5: Solve for x
    x = 5,661,792,398.23/106,508.78
  6. Step 6: Final answer
    x = 53,157.99

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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.