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Finding the Fourth Proportional to 204,712, 307,025.65 and 54,916.77

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Solution

The fourth proportional to 204,712, 307,025.65 and 54,916.77 is: 82,363.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,712 : 307,025.65 = 54,916.77 : x
  2. Step 2: Convert to fraction form
    204,712/307,025.65 = 54,916.77/x
  3. Step 3: Cross multiply
    204,712x = 307,025.65 × 54,916.77
  4. Step 4: Simplify right side
    204,712x = 16,860,857,005.15
  5. Step 5: Solve for x
    x = 16,860,857,005.15/204,712
  6. Step 6: Final answer
    x = 82,363.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.