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Finding the Fourth Proportional to 133,326.78, 184,002.36 and 75,983.64

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Solution

The fourth proportional to 133,326.78, 184,002.36 and 75,983.64 is: 104,863.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,326.78 : 184,002.36 = 75,983.64 : x
  2. Step 2: Convert to fraction form
    133,326.78/184,002.36 = 75,983.64/x
  3. Step 3: Cross multiply
    133,326.78x = 184,002.36 × 75,983.64
  4. Step 4: Simplify right side
    133,326.78x = 13,981,169,081.39
  5. Step 5: Solve for x
    x = 13,981,169,081.39/133,326.78
  6. Step 6: Final answer
    x = 104,863.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.