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Finding the Fourth Proportional to 149,403, 224,142.90 and 50,907

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Solution

The fourth proportional to 149,403, 224,142.90 and 50,907 is: 76,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,403 : 224,142.90 = 50,907 : x
  2. Step 2: Convert to fraction form
    149,403/224,142.90 = 50,907/x
  3. Step 3: Cross multiply
    149,403x = 224,142.90 × 50,907
  4. Step 4: Simplify right side
    149,403x = 11,410,442,610.30
  5. Step 5: Solve for x
    x = 11,410,442,610.30/149,403
  6. Step 6: Final answer
    x = 76,373.58

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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.