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Finding the Fourth Proportional to 150,201, 225,153.18 and 83,672.46

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Solution

The fourth proportional to 150,201, 225,153.18 and 83,672.46 is: 125,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,201 : 225,153.18 = 83,672.46 : x
  2. Step 2: Convert to fraction form
    150,201/225,153.18 = 83,672.46/x
  3. Step 3: Cross multiply
    150,201x = 225,153.18 × 83,672.46
  4. Step 4: Simplify right side
    150,201x = 18,839,120,447.42
  5. Step 5: Solve for x
    x = 18,839,120,447.42/150,201
  6. Step 6: Final answer
    x = 125,426.07

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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.