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Finding the Fourth Proportional to 106,564.95, 159,788.57 and 67,037.49

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Solution

The fourth proportional to 106,564.95, 159,788.57 and 67,037.49 is: 100,519.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564.95 : 159,788.57 = 67,037.49 : x
  2. Step 2: Convert to fraction form
    106,564.95/159,788.57 = 67,037.49/x
  3. Step 3: Cross multiply
    106,564.95x = 159,788.57 × 67,037.49
  4. Step 4: Simplify right side
    106,564.95x = 10,711,824,328.30
  5. Step 5: Solve for x
    x = 10,711,824,328.30/106,564.95
  6. Step 6: Final answer
    x = 100,519.21

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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.