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Finding the Fourth Proportional to 234,382.74, 323,506.05 and 133,839.06

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Solution

The fourth proportional to 234,382.74, 323,506.05 and 133,839.06 is: 184,730.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,382.74 : 323,506.05 = 133,839.06 : x
  2. Step 2: Convert to fraction form
    234,382.74/323,506.05 = 133,839.06/x
  3. Step 3: Cross multiply
    234,382.74x = 323,506.05 × 133,839.06
  4. Step 4: Simplify right side
    234,382.74x = 43,297,745,636.31
  5. Step 5: Solve for x
    x = 43,297,745,636.31/234,382.74
  6. Step 6: Final answer
    x = 184,730.95

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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.