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Finding the Fourth Proportional to 149,930.05, 224,756.68 and 74,984.98

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Solution

The fourth proportional to 149,930.05, 224,756.68 and 74,984.98 is: 112,408.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,930.05 : 224,756.68 = 74,984.98 : x
  2. Step 2: Convert to fraction form
    149,930.05/224,756.68 = 74,984.98/x
  3. Step 3: Cross multiply
    149,930.05x = 224,756.68 × 74,984.98
  4. Step 4: Simplify right side
    149,930.05x = 16,853,375,154.67
  5. Step 5: Solve for x
    x = 16,853,375,154.67/149,930.05
  6. Step 6: Final answer
    x = 112,408.25

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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.