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Finding the Fourth Proportional to 282,181.87, 389,390.76 and 161,328.25

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Solution

The fourth proportional to 282,181.87, 389,390.76 and 161,328.25 is: 222,621.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,181.87 : 389,390.76 = 161,328.25 : x
  2. Step 2: Convert to fraction form
    282,181.87/389,390.76 = 161,328.25/x
  3. Step 3: Cross multiply
    282,181.87x = 389,390.76 × 161,328.25
  4. Step 4: Simplify right side
    282,181.87x = 62,819,727,123.38
  5. Step 5: Solve for x
    x = 62,819,727,123.38/282,181.87
  6. Step 6: Final answer
    x = 222,621.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.