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Finding the Fourth Proportional to 133,700.92, 200,662.16 and 67,160.08

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Solution

The fourth proportional to 133,700.92, 200,662.16 and 67,160.08 is: 100,795.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,700.92 : 200,662.16 = 67,160.08 : x
  2. Step 2: Convert to fraction form
    133,700.92/200,662.16 = 67,160.08/x
  3. Step 3: Cross multiply
    133,700.92x = 200,662.16 × 67,160.08
  4. Step 4: Simplify right side
    133,700.92x = 13,476,486,718.57
  5. Step 5: Solve for x
    x = 13,476,486,718.57/133,700.92
  6. Step 6: Final answer
    x = 100,795.77

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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.