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Finding the Fourth Proportional to 133,411.97, 184,155.39 and 82,463.78

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Solution

The fourth proportional to 133,411.97, 184,155.39 and 82,463.78 is: 113,828.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,411.97 : 184,155.39 = 82,463.78 : x
  2. Step 2: Convert to fraction form
    133,411.97/184,155.39 = 82,463.78/x
  3. Step 3: Cross multiply
    133,411.97x = 184,155.39 × 82,463.78
  4. Step 4: Simplify right side
    133,411.97x = 15,186,148,646.00
  5. Step 5: Solve for x
    x = 15,186,148,646.00/133,411.97
  6. Step 6: Final answer
    x = 113,828.99

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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.