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Finding the Fourth Proportional to 180,404.82, 270,631.14 and 66,537.30

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Solution

The fourth proportional to 180,404.82, 270,631.14 and 66,537.30 is: 99,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,404.82 : 270,631.14 = 66,537.30 : x
  2. Step 2: Convert to fraction form
    180,404.82/270,631.14 = 66,537.30/x
  3. Step 3: Cross multiply
    180,404.82x = 270,631.14 × 66,537.30
  4. Step 4: Simplify right side
    180,404.82x = 18,007,065,351.52
  5. Step 5: Solve for x
    x = 18,007,065,351.52/180,404.82
  6. Step 6: Final answer
    x = 99,814.77

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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.