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Finding the Fourth Proportional to 285,141.57, 393,583.05 and 164,363.58

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Solution

The fourth proportional to 285,141.57, 393,583.05 and 164,363.58 is: 226,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,141.57 : 393,583.05 = 164,363.58 : x
  2. Step 2: Convert to fraction form
    285,141.57/393,583.05 = 164,363.58/x
  3. Step 3: Cross multiply
    285,141.57x = 393,583.05 × 164,363.58
  4. Step 4: Simplify right side
    285,141.57x = 64,690,719,125.32
  5. Step 5: Solve for x
    x = 64,690,719,125.32/285,141.57
  6. Step 6: Final answer
    x = 226,872.29

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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.