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Finding the Fourth Proportional to 131,182.38, 196,878.42 and 68,020.50

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Solution

The fourth proportional to 131,182.38, 196,878.42 and 68,020.50 is: 102,085.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,182.38 : 196,878.42 = 68,020.50 : x
  2. Step 2: Convert to fraction form
    131,182.38/196,878.42 = 68,020.50/x
  3. Step 3: Cross multiply
    131,182.38x = 196,878.42 × 68,020.50
  4. Step 4: Simplify right side
    131,182.38x = 13,391,768,567.61
  5. Step 5: Solve for x
    x = 13,391,768,567.61/131,182.38
  6. Step 6: Final answer
    x = 102,085.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.