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Finding the Fourth Proportional to 147,140.32, 203,039.59 and 82,594.77

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Solution

The fourth proportional to 147,140.32, 203,039.59 and 82,594.77 is: 113,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,140.32 : 203,039.59 = 82,594.77 : x
  2. Step 2: Convert to fraction form
    147,140.32/203,039.59 = 82,594.77/x
  3. Step 3: Cross multiply
    147,140.32x = 203,039.59 × 82,594.77
  4. Step 4: Simplify right side
    147,140.32x = 16,770,008,236.94
  5. Step 5: Solve for x
    x = 16,770,008,236.94/147,140.32
  6. Step 6: Final answer
    x = 113,972.89

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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.