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Finding the Fourth Proportional to 204,808.42, 282,631.56 and 114,158.97

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Solution

The fourth proportional to 204,808.42, 282,631.56 and 114,158.97 is: 157,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,808.42 : 282,631.56 = 114,158.97 : x
  2. Step 2: Convert to fraction form
    204,808.42/282,631.56 = 114,158.97/x
  3. Step 3: Cross multiply
    204,808.42x = 282,631.56 × 114,158.97
  4. Step 4: Simplify right side
    204,808.42x = 32,264,928,560.48
  5. Step 5: Solve for x
    x = 32,264,928,560.48/204,808.42
  6. Step 6: Final answer
    x = 157,537.12

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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.