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Finding the Fourth Proportional to 149,195.52, 223,845.12 and 66,147.84

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Solution

The fourth proportional to 149,195.52, 223,845.12 and 66,147.84 is: 99,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,195.52 : 223,845.12 = 66,147.84 : x
  2. Step 2: Convert to fraction form
    149,195.52/223,845.12 = 66,147.84/x
  3. Step 3: Cross multiply
    149,195.52x = 223,845.12 × 66,147.84
  4. Step 4: Simplify right side
    149,195.52x = 14,806,871,182.54
  5. Step 5: Solve for x
    x = 14,806,871,182.54/149,195.52
  6. Step 6: Final answer
    x = 99,244.74

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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.