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Finding the Fourth Proportional to 150,064.90, 224,985.54 and 50,165.98

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Solution

The fourth proportional to 150,064.90, 224,985.54 and 50,165.98 is: 75,211.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,064.90 : 224,985.54 = 50,165.98 : x
  2. Step 2: Convert to fraction form
    150,064.90/224,985.54 = 50,165.98/x
  3. Step 3: Cross multiply
    150,064.90x = 224,985.54 × 50,165.98
  4. Step 4: Simplify right side
    150,064.90x = 11,286,620,099.93
  5. Step 5: Solve for x
    x = 11,286,620,099.93/150,064.90
  6. Step 6: Final answer
    x = 75,211.59

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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.