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Finding the Fourth Proportional to 123,858.30, 185,787.45 and 35,112.58

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Solution

The fourth proportional to 123,858.30, 185,787.45 and 35,112.58 is: 52,668.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,858.30 : 185,787.45 = 35,112.58 : x
  2. Step 2: Convert to fraction form
    123,858.30/185,787.45 = 35,112.58/x
  3. Step 3: Cross multiply
    123,858.30x = 185,787.45 × 35,112.58
  4. Step 4: Simplify right side
    123,858.30x = 6,523,476,098.83
  5. Step 5: Solve for x
    x = 6,523,476,098.83/123,858.30
  6. Step 6: Final answer
    x = 52,668.86

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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.