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Finding the Fourth Proportional to 105,901.75, 146,177.22 and 68,176

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Solution

The fourth proportional to 105,901.75, 146,177.22 and 68,176 is: 94,104.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,901.75 : 146,177.22 = 68,176 : x
  2. Step 2: Convert to fraction form
    105,901.75/146,177.22 = 68,176/x
  3. Step 3: Cross multiply
    105,901.75x = 146,177.22 × 68,176
  4. Step 4: Simplify right side
    105,901.75x = 9,965,778,150.72
  5. Step 5: Solve for x
    x = 9,965,778,150.72/105,901.75
  6. Step 6: Final answer
    x = 94,104.00

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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.