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Finding the Fourth Proportional to 110,149.38, 152,098.62 and 82,878.06

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Solution

The fourth proportional to 110,149.38, 152,098.62 and 82,878.06 is: 114,441.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,149.38 : 152,098.62 = 82,878.06 : x
  2. Step 2: Convert to fraction form
    110,149.38/152,098.62 = 82,878.06/x
  3. Step 3: Cross multiply
    110,149.38x = 152,098.62 × 82,878.06
  4. Step 4: Simplify right side
    110,149.38x = 12,605,638,554.28
  5. Step 5: Solve for x
    x = 12,605,638,554.28/110,149.38
  6. Step 6: Final answer
    x = 114,441.30

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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.