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Finding the Fourth Proportional to 103,585.85, 142,949.95 and 61,144.38

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Solution

The fourth proportional to 103,585.85, 142,949.95 and 61,144.38 is: 84,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,585.85 : 142,949.95 = 61,144.38 : x
  2. Step 2: Convert to fraction form
    103,585.85/142,949.95 = 61,144.38/x
  3. Step 3: Cross multiply
    103,585.85x = 142,949.95 × 61,144.38
  4. Step 4: Simplify right side
    103,585.85x = 8,740,585,910.92
  5. Step 5: Solve for x
    x = 8,740,585,910.92/103,585.85
  6. Step 6: Final answer
    x = 84,380.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.