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Finding the Fourth Proportional to 150,410.52, 225,378.44 and 55,510.11

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Solution

The fourth proportional to 150,410.52, 225,378.44 and 55,510.11 is: 83,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,410.52 : 225,378.44 = 55,510.11 : x
  2. Step 2: Convert to fraction form
    150,410.52/225,378.44 = 55,510.11/x
  3. Step 3: Cross multiply
    150,410.52x = 225,378.44 × 55,510.11
  4. Step 4: Simplify right side
    150,410.52x = 12,510,781,996.03
  5. Step 5: Solve for x
    x = 12,510,781,996.03/150,410.52
  6. Step 6: Final answer
    x = 83,177.57

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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.