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Finding the Fourth Proportional to 105,885, 146,121.30 and 61,173

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Solution

The fourth proportional to 105,885, 146,121.30 and 61,173 is: 84,418.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,885 : 146,121.30 = 61,173 : x
  2. Step 2: Convert to fraction form
    105,885/146,121.30 = 61,173/x
  3. Step 3: Cross multiply
    105,885x = 146,121.30 × 61,173
  4. Step 4: Simplify right side
    105,885x = 8,938,678,284.90
  5. Step 5: Solve for x
    x = 8,938,678,284.90/105,885
  6. Step 6: Final answer
    x = 84,418.74

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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.