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Finding the Fourth Proportional to 282,181.08, 389,395 and 161,306.40

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Solution

The fourth proportional to 282,181.08, 389,395 and 161,306.40 is: 222,594.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,181.08 : 389,395 = 161,306.40 : x
  2. Step 2: Convert to fraction form
    282,181.08/389,395 = 161,306.40/x
  3. Step 3: Cross multiply
    282,181.08x = 389,395 × 161,306.40
  4. Step 4: Simplify right side
    282,181.08x = 62,811,905,628
  5. Step 5: Solve for x
    x = 62,811,905,628/282,181.08
  6. Step 6: Final answer
    x = 222,594.32

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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.