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Finding the Fourth Proportional to 133,428.66, 184,067.93 and 82,423.04

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Solution

The fourth proportional to 133,428.66, 184,067.93 and 82,423.04 is: 113,704.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,428.66 : 184,067.93 = 82,423.04 : x
  2. Step 2: Convert to fraction form
    133,428.66/184,067.93 = 82,423.04/x
  3. Step 3: Cross multiply
    133,428.66x = 184,067.93 × 82,423.04
  4. Step 4: Simplify right side
    133,428.66x = 15,171,437,024.65
  5. Step 5: Solve for x
    x = 15,171,437,024.65/133,428.66
  6. Step 6: Final answer
    x = 113,704.48

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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.