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Finding the Fourth Proportional to 105,616.98, 145,745.85 and 60,293.16

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Solution

The fourth proportional to 105,616.98, 145,745.85 and 60,293.16 is: 83,201.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,616.98 : 145,745.85 = 60,293.16 : x
  2. Step 2: Convert to fraction form
    105,616.98/145,745.85 = 60,293.16/x
  3. Step 3: Cross multiply
    105,616.98x = 145,745.85 × 60,293.16
  4. Step 4: Simplify right side
    105,616.98x = 8,787,477,853.39
  5. Step 5: Solve for x
    x = 8,787,477,853.39/105,616.98
  6. Step 6: Final answer
    x = 83,201.37

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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.