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Finding the Fourth Proportional to 149,652.63, 224,519.95 and 74,682.27

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Solution

The fourth proportional to 149,652.63, 224,519.95 and 74,682.27 is: 112,043.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,652.63 : 224,519.95 = 74,682.27 : x
  2. Step 2: Convert to fraction form
    149,652.63/224,519.95 = 74,682.27/x
  3. Step 3: Cross multiply
    149,652.63x = 224,519.95 × 74,682.27
  4. Step 4: Simplify right side
    149,652.63x = 16,767,659,619.64
  5. Step 5: Solve for x
    x = 16,767,659,619.64/149,652.63
  6. Step 6: Final answer
    x = 112,043.87

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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.