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Finding the Fourth Proportional to 150,095.70, 225,143.51 and 71,166.86

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Solution

The fourth proportional to 150,095.70, 225,143.51 and 71,166.86 is: 106,750.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,095.70 : 225,143.51 = 71,166.86 : x
  2. Step 2: Convert to fraction form
    150,095.70/225,143.51 = 71,166.86/x
  3. Step 3: Cross multiply
    150,095.70x = 225,143.51 × 71,166.86
  4. Step 4: Simplify right side
    150,095.70x = 16,022,756,656.08
  5. Step 5: Solve for x
    x = 16,022,756,656.08/150,095.70
  6. Step 6: Final answer
    x = 106,750.27

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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.