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Finding the Fourth Proportional to 149,857, 224,785.50 and 39,049

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Solution

The fourth proportional to 149,857, 224,785.50 and 39,049 is: 58,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,857 : 224,785.50 = 39,049 : x
  2. Step 2: Convert to fraction form
    149,857/224,785.50 = 39,049/x
  3. Step 3: Cross multiply
    149,857x = 224,785.50 × 39,049
  4. Step 4: Simplify right side
    149,857x = 8,777,648,989.50
  5. Step 5: Solve for x
    x = 8,777,648,989.50/149,857
  6. Step 6: Final answer
    x = 58,573.50

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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.