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Finding the Fourth Proportional to 105,539.84, 145,645.04 and 57,142.18

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Solution

The fourth proportional to 105,539.84, 145,645.04 and 57,142.18 is: 78,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539.84 : 145,645.04 = 57,142.18 : x
  2. Step 2: Convert to fraction form
    105,539.84/145,645.04 = 57,142.18/x
  3. Step 3: Cross multiply
    105,539.84x = 145,645.04 × 57,142.18
  4. Step 4: Simplify right side
    105,539.84x = 8,322,475,504.90
  5. Step 5: Solve for x
    x = 8,322,475,504.90/105,539.84
  6. Step 6: Final answer
    x = 78,856.25

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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.