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Finding the Fourth Proportional to 149,768.56, 224,592.36 and 74,859.76

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Solution

The fourth proportional to 149,768.56, 224,592.36 and 74,859.76 is: 112,259.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,768.56 : 224,592.36 = 74,859.76 : x
  2. Step 2: Convert to fraction form
    149,768.56/224,592.36 = 74,859.76/x
  3. Step 3: Cross multiply
    149,768.56x = 224,592.36 × 74,859.76
  4. Step 4: Simplify right side
    149,768.56x = 16,812,930,167.43
  5. Step 5: Solve for x
    x = 16,812,930,167.43/149,768.56
  6. Step 6: Final answer
    x = 112,259.41

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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.