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Finding the Fourth Proportional to 201,337.32, 301,784.40 and 82,944.12

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Solution

The fourth proportional to 201,337.32, 301,784.40 and 82,944.12 is: 124,324.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,337.32 : 301,784.40 = 82,944.12 : x
  2. Step 2: Convert to fraction form
    201,337.32/301,784.40 = 82,944.12/x
  3. Step 3: Cross multiply
    201,337.32x = 301,784.40 × 82,944.12
  4. Step 4: Simplify right side
    201,337.32x = 25,031,241,487.73
  5. Step 5: Solve for x
    x = 25,031,241,487.73/201,337.32
  6. Step 6: Final answer
    x = 124,324.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.