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Finding the Fourth Proportional to 133,960.10, 200,767.35 and 102,640.10

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Solution

The fourth proportional to 133,960.10, 200,767.35 and 102,640.10 is: 153,827.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,960.10 : 200,767.35 = 102,640.10 : x
  2. Step 2: Convert to fraction form
    133,960.10/200,767.35 = 102,640.10/x
  3. Step 3: Cross multiply
    133,960.10x = 200,767.35 × 102,640.10
  4. Step 4: Simplify right side
    133,960.10x = 20,606,780,880.74
  5. Step 5: Solve for x
    x = 20,606,780,880.74/133,960.10
  6. Step 6: Final answer
    x = 153,827.75

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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.