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Finding the Fourth Proportional to 282,391.19, 389,701.97 and 161,525.01

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Solution

The fourth proportional to 282,391.19, 389,701.97 and 161,525.01 is: 222,905.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,391.19 : 389,701.97 = 161,525.01 : x
  2. Step 2: Convert to fraction form
    282,391.19/389,701.97 = 161,525.01/x
  3. Step 3: Cross multiply
    282,391.19x = 389,701.97 × 161,525.01
  4. Step 4: Simplify right side
    282,391.19x = 62,946,613,793.64
  5. Step 5: Solve for x
    x = 62,946,613,793.64/282,391.19
  6. Step 6: Final answer
    x = 222,905.73

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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.