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Finding the Fourth Proportional to 147,120, 203,028.84 and 80,052

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Solution

The fourth proportional to 147,120, 203,028.84 and 80,052 is: 110,473.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,120 : 203,028.84 = 80,052 : x
  2. Step 2: Convert to fraction form
    147,120/203,028.84 = 80,052/x
  3. Step 3: Cross multiply
    147,120x = 203,028.84 × 80,052
  4. Step 4: Simplify right side
    147,120x = 16,252,864,699.68
  5. Step 5: Solve for x
    x = 16,252,864,699.68/147,120
  6. Step 6: Final answer
    x = 110,473.52

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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.