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Finding the Fourth Proportional to 204,613.38, 282,410.04 and 137,506.50

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Solution

The fourth proportional to 204,613.38, 282,410.04 and 137,506.50 is: 189,788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,613.38 : 282,410.04 = 137,506.50 : x
  2. Step 2: Convert to fraction form
    204,613.38/282,410.04 = 137,506.50/x
  3. Step 3: Cross multiply
    204,613.38x = 282,410.04 × 137,506.50
  4. Step 4: Simplify right side
    204,613.38x = 38,833,216,165.26
  5. Step 5: Solve for x
    x = 38,833,216,165.26/204,613.38
  6. Step 6: Final answer
    x = 189,788.25

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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.