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Finding the Fourth Proportional to 133,571, 200,302.68 and 48,157.54

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Solution

The fourth proportional to 133,571, 200,302.68 and 48,157.54 is: 72,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,571 : 200,302.68 = 48,157.54 : x
  2. Step 2: Convert to fraction form
    133,571/200,302.68 = 48,157.54/x
  3. Step 3: Cross multiply
    133,571x = 200,302.68 × 48,157.54
  4. Step 4: Simplify right side
    133,571x = 9,646,084,324.21
  5. Step 5: Solve for x
    x = 9,646,084,324.21/133,571
  6. Step 6: Final answer
    x = 72,216.91

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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.