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Finding the Fourth Proportional to 150,209.73, 225,314.64 and 45,028.71

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Solution

The fourth proportional to 150,209.73, 225,314.64 and 45,028.71 is: 67,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,209.73 : 225,314.64 = 45,028.71 : x
  2. Step 2: Convert to fraction form
    150,209.73/225,314.64 = 45,028.71/x
  3. Step 3: Cross multiply
    150,209.73x = 225,314.64 × 45,028.71
  4. Step 4: Simplify right side
    150,209.73x = 10,145,627,583.31
  5. Step 5: Solve for x
    x = 10,145,627,583.31/150,209.73
  6. Step 6: Final answer
    x = 67,543.08

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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.