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Finding the Fourth Proportional to 105,078.94, 145,017.54 and 59,771.11

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Solution

The fourth proportional to 105,078.94, 145,017.54 and 59,771.11 is: 82,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,078.94 : 145,017.54 = 59,771.11 : x
  2. Step 2: Convert to fraction form
    105,078.94/145,017.54 = 59,771.11/x
  3. Step 3: Cross multiply
    105,078.94x = 145,017.54 × 59,771.11
  4. Step 4: Simplify right side
    105,078.94x = 8,667,859,335.27
  5. Step 5: Solve for x
    x = 8,667,859,335.27/105,078.94
  6. Step 6: Final answer
    x = 82,489.03

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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.