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Finding the Fourth Proportional to 204,484, 282,165.24 and 113,819.08

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Solution

The fourth proportional to 204,484, 282,165.24 and 113,819.08 is: 157,057.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,484 : 282,165.24 = 113,819.08 : x
  2. Step 2: Convert to fraction form
    204,484/282,165.24 = 113,819.08/x
  3. Step 3: Cross multiply
    204,484x = 282,165.24 × 113,819.08
  4. Step 4: Simplify right side
    204,484x = 32,115,788,024.78
  5. Step 5: Solve for x
    x = 32,115,788,024.78/204,484
  6. Step 6: Final answer
    x = 157,057.71

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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.