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Finding the Fourth Proportional to 147,844, 204,024.72 and 80,776.48

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Solution

The fourth proportional to 147,844, 204,024.72 and 80,776.48 is: 111,471.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,844 : 204,024.72 = 80,776.48 : x
  2. Step 2: Convert to fraction form
    147,844/204,024.72 = 80,776.48/x
  3. Step 3: Cross multiply
    147,844x = 204,024.72 × 80,776.48
  4. Step 4: Simplify right side
    147,844x = 16,480,398,714.59
  5. Step 5: Solve for x
    x = 16,480,398,714.59/147,844
  6. Step 6: Final answer
    x = 111,471.54

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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.