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Finding the Fourth Proportional to 133,892.87, 200,838.43 and 34,052.20

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Solution

The fourth proportional to 133,892.87, 200,838.43 and 34,052.20 is: 51,078.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,892.87 : 200,838.43 = 34,052.20 : x
  2. Step 2: Convert to fraction form
    133,892.87/200,838.43 = 34,052.20/x
  3. Step 3: Cross multiply
    133,892.87x = 200,838.43 × 34,052.20
  4. Step 4: Simplify right side
    133,892.87x = 6,838,989,478.93
  5. Step 5: Solve for x
    x = 6,838,989,478.93/133,892.87
  6. Step 6: Final answer
    x = 51,078.07

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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.