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Finding the Fourth Proportional to 105,837.92, 146,033.52 and 61,100

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Solution

The fourth proportional to 105,837.92, 146,033.52 and 61,100 is: 84,304.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,837.92 : 146,033.52 = 61,100 : x
  2. Step 2: Convert to fraction form
    105,837.92/146,033.52 = 61,100/x
  3. Step 3: Cross multiply
    105,837.92x = 146,033.52 × 61,100
  4. Step 4: Simplify right side
    105,837.92x = 8,922,648,072
  5. Step 5: Solve for x
    x = 8,922,648,072/105,837.92
  6. Step 6: Final answer
    x = 84,304.83

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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.