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Finding the Fourth Proportional to 106,863.81, 147,476.40 and 59,116.33

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Solution

The fourth proportional to 106,863.81, 147,476.40 and 59,116.33 is: 81,582.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,863.81 : 147,476.40 = 59,116.33 : x
  2. Step 2: Convert to fraction form
    106,863.81/147,476.40 = 59,116.33/x
  3. Step 3: Cross multiply
    106,863.81x = 147,476.40 × 59,116.33
  4. Step 4: Simplify right side
    106,863.81x = 8,718,263,234.03
  5. Step 5: Solve for x
    x = 8,718,263,234.03/106,863.81
  6. Step 6: Final answer
    x = 81,582.94

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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.