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Finding the Fourth Proportional to 204,199.49, 281,754 and 119,300.15

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Solution

The fourth proportional to 204,199.49, 281,754 and 119,300.15 is: 164,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,199.49 : 281,754 = 119,300.15 : x
  2. Step 2: Convert to fraction form
    204,199.49/281,754 = 119,300.15/x
  3. Step 3: Cross multiply
    204,199.49x = 281,754 × 119,300.15
  4. Step 4: Simplify right side
    204,199.49x = 33,613,294,463.10
  5. Step 5: Solve for x
    x = 33,613,294,463.10/204,199.49
  6. Step 6: Final answer
    x = 164,610.08

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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.