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Finding the Fourth Proportional to 599,453.14, 899,158.90 and 150,177.86

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Solution

The fourth proportional to 599,453.14, 899,158.90 and 150,177.86 is: 225,261.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,453.14 : 899,158.90 = 150,177.86 : x
  2. Step 2: Convert to fraction form
    599,453.14/899,158.90 = 150,177.86/x
  3. Step 3: Cross multiply
    599,453.14x = 899,158.90 × 150,177.86
  4. Step 4: Simplify right side
    599,453.14x = 135,033,759,401.95
  5. Step 5: Solve for x
    x = 135,033,759,401.95/599,453.14
  6. Step 6: Final answer
    x = 225,261.58

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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.