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Finding the Fourth Proportional to 105,517.30, 145,612.95 and 57,118.99

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Solution

The fourth proportional to 105,517.30, 145,612.95 and 57,118.99 is: 78,823.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,517.30 : 145,612.95 = 57,118.99 : x
  2. Step 2: Convert to fraction form
    105,517.30/145,612.95 = 57,118.99/x
  3. Step 3: Cross multiply
    105,517.30x = 145,612.95 × 57,118.99
  4. Step 4: Simplify right side
    105,517.30x = 8,317,264,634.92
  5. Step 5: Solve for x
    x = 8,317,264,634.92/105,517.30
  6. Step 6: Final answer
    x = 78,823.71

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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.