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Finding the Fourth Proportional to 100,166.56, 150,264.72 and 29,089.80

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Solution

The fourth proportional to 100,166.56, 150,264.72 and 29,089.80 is: 43,639.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.56 : 150,264.72 = 29,089.80 : x
  2. Step 2: Convert to fraction form
    100,166.56/150,264.72 = 29,089.80/x
  3. Step 3: Cross multiply
    100,166.56x = 150,264.72 × 29,089.80
  4. Step 4: Simplify right side
    100,166.56x = 4,371,170,651.86
  5. Step 5: Solve for x
    x = 4,371,170,651.86/100,166.56
  6. Step 6: Final answer
    x = 43,639.02

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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.