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Finding the Fourth Proportional to 204,527.52, 282,250.08 and 119,628

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Solution

The fourth proportional to 204,527.52, 282,250.08 and 119,628 is: 165,087.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,527.52 : 282,250.08 = 119,628 : x
  2. Step 2: Convert to fraction form
    204,527.52/282,250.08 = 119,628/x
  3. Step 3: Cross multiply
    204,527.52x = 282,250.08 × 119,628
  4. Step 4: Simplify right side
    204,527.52x = 33,765,012,570.24
  5. Step 5: Solve for x
    x = 33,765,012,570.24/204,527.52
  6. Step 6: Final answer
    x = 165,087.87

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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.