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Finding the Fourth Proportional to 204,507.30, 282,269.81 and 118,452.42

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Solution

The fourth proportional to 204,507.30, 282,269.81 and 118,452.42 is: 163,493.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.30 : 282,269.81 = 118,452.42 : x
  2. Step 2: Convert to fraction form
    204,507.30/282,269.81 = 118,452.42/x
  3. Step 3: Cross multiply
    204,507.30x = 282,269.81 × 118,452.42
  4. Step 4: Simplify right side
    204,507.30x = 33,435,541,495.18
  5. Step 5: Solve for x
    x = 33,435,541,495.18/204,507.30
  6. Step 6: Final answer
    x = 163,493.14

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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.