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Finding the Fourth Proportional to 133,824.96, 200,745.12 and 40,320.96

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Solution

The fourth proportional to 133,824.96, 200,745.12 and 40,320.96 is: 60,483.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,824.96 : 200,745.12 = 40,320.96 : x
  2. Step 2: Convert to fraction form
    133,824.96/200,745.12 = 40,320.96/x
  3. Step 3: Cross multiply
    133,824.96x = 200,745.12 × 40,320.96
  4. Step 4: Simplify right side
    133,824.96x = 8,094,235,953.72
  5. Step 5: Solve for x
    x = 8,094,235,953.72/133,824.96
  6. Step 6: Final answer
    x = 60,483.75

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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.