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Finding the Fourth Proportional to 298,123.15, 411,372.53 and 201,537.11

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Solution

The fourth proportional to 298,123.15, 411,372.53 and 201,537.11 is: 278,095.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,123.15 : 411,372.53 = 201,537.11 : x
  2. Step 2: Convert to fraction form
    298,123.15/411,372.53 = 201,537.11/x
  3. Step 3: Cross multiply
    298,123.15x = 411,372.53 × 201,537.11
  4. Step 4: Simplify right side
    298,123.15x = 82,906,827,765.04
  5. Step 5: Solve for x
    x = 82,906,827,765.04/298,123.15
  6. Step 6: Final answer
    x = 278,095.91

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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.