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Finding the Fourth Proportional to 282,377.76, 422,507.94 and 168,107.58

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Solution

The fourth proportional to 282,377.76, 422,507.94 and 168,107.58 is: 251,531.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,377.76 : 422,507.94 = 168,107.58 : x
  2. Step 2: Convert to fraction form
    282,377.76/422,507.94 = 168,107.58/x
  3. Step 3: Cross multiply
    282,377.76x = 422,507.94 × 168,107.58
  4. Step 4: Simplify right side
    282,377.76x = 71,026,787,324.19
  5. Step 5: Solve for x
    x = 71,026,787,324.19/282,377.76
  6. Step 6: Final answer
    x = 251,531.10

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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.