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Finding the Fourth Proportional to 147,860.96, 204,052.32 and 82,451.28

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Solution

The fourth proportional to 147,860.96, 204,052.32 and 82,451.28 is: 113,785.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,860.96 : 204,052.32 = 82,451.28 : x
  2. Step 2: Convert to fraction form
    147,860.96/204,052.32 = 82,451.28/x
  3. Step 3: Cross multiply
    147,860.96x = 204,052.32 × 82,451.28
  4. Step 4: Simplify right side
    147,860.96x = 16,824,374,970.97
  5. Step 5: Solve for x
    x = 16,824,374,970.97/147,860.96
  6. Step 6: Final answer
    x = 113,785.11

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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.