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Finding the Fourth Proportional to 133,364, 200,047.92 and 34,868

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Solution

The fourth proportional to 133,364, 200,047.92 and 34,868 is: 52,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,364 : 200,047.92 = 34,868 : x
  2. Step 2: Convert to fraction form
    133,364/200,047.92 = 34,868/x
  3. Step 3: Cross multiply
    133,364x = 200,047.92 × 34,868
  4. Step 4: Simplify right side
    133,364x = 6,975,270,874.56
  5. Step 5: Solve for x
    x = 6,975,270,874.56/133,364
  6. Step 6: Final answer
    x = 52,302.50

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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.