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Finding the Fourth Proportional to 133,500.98, 200,270.91 and 40,014.02

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Solution

The fourth proportional to 133,500.98, 200,270.91 and 40,014.02 is: 60,026.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,500.98 : 200,270.91 = 40,014.02 : x
  2. Step 2: Convert to fraction form
    133,500.98/200,270.91 = 40,014.02/x
  3. Step 3: Cross multiply
    133,500.98x = 200,270.91 × 40,014.02
  4. Step 4: Simplify right side
    133,500.98x = 8,013,644,198.16
  5. Step 5: Solve for x
    x = 8,013,644,198.16/133,500.98
  6. Step 6: Final answer
    x = 60,026.86

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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.