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Finding the Fourth Proportional to 133,827.62, 200,677.84 and 77,684.94

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Solution

The fourth proportional to 133,827.62, 200,677.84 and 77,684.94 is: 116,490.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,827.62 : 200,677.84 = 77,684.94 : x
  2. Step 2: Convert to fraction form
    133,827.62/200,677.84 = 77,684.94/x
  3. Step 3: Cross multiply
    133,827.62x = 200,677.84 × 77,684.94
  4. Step 4: Simplify right side
    133,827.62x = 15,589,645,765.52
  5. Step 5: Solve for x
    x = 15,589,645,765.52/133,827.62
  6. Step 6: Final answer
    x = 116,490.50

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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.