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Finding the Fourth Proportional to 100,867.97, 150,880.57 and 70,880.10

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Solution

The fourth proportional to 100,867.97, 150,880.57 and 70,880.10 is: 106,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,867.97 : 150,880.57 = 70,880.10 : x
  2. Step 2: Convert to fraction form
    100,867.97/150,880.57 = 70,880.10/x
  3. Step 3: Cross multiply
    100,867.97x = 150,880.57 × 70,880.10
  4. Step 4: Simplify right side
    100,867.97x = 10,694,429,545.36
  5. Step 5: Solve for x
    x = 10,694,429,545.36/100,867.97
  6. Step 6: Final answer
    x = 106,024.04

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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.