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Finding the Fourth Proportional to 106,645.80, 159,738.30 and 88,213.80

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Solution

The fourth proportional to 106,645.80, 159,738.30 and 88,213.80 is: 132,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,645.80 : 159,738.30 = 88,213.80 : x
  2. Step 2: Convert to fraction form
    106,645.80/159,738.30 = 88,213.80/x
  3. Step 3: Cross multiply
    106,645.80x = 159,738.30 × 88,213.80
  4. Step 4: Simplify right side
    106,645.80x = 14,091,122,448.54
  5. Step 5: Solve for x
    x = 14,091,122,448.54/106,645.80
  6. Step 6: Final answer
    x = 132,130.12

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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.