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Finding the Fourth Proportional to 147,888, 204,086.64 and 80,820

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Solution

The fourth proportional to 147,888, 204,086.64 and 80,820 is: 111,532.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,888 : 204,086.64 = 80,820 : x
  2. Step 2: Convert to fraction form
    147,888/204,086.64 = 80,820/x
  3. Step 3: Cross multiply
    147,888x = 204,086.64 × 80,820
  4. Step 4: Simplify right side
    147,888x = 16,494,282,244.80
  5. Step 5: Solve for x
    x = 16,494,282,244.80/147,888
  6. Step 6: Final answer
    x = 111,532.26

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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.