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Finding the Fourth Proportional to 180,801.52, 271,167.01 and 132,971.83

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Solution

The fourth proportional to 180,801.52, 271,167.01 and 132,971.83 is: 199,431.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,801.52 : 271,167.01 = 132,971.83 : x
  2. Step 2: Convert to fraction form
    180,801.52/271,167.01 = 132,971.83/x
  3. Step 3: Cross multiply
    180,801.52x = 271,167.01 × 132,971.83
  4. Step 4: Simplify right side
    180,801.52x = 36,057,572,544.98
  5. Step 5: Solve for x
    x = 36,057,572,544.98/180,801.52
  6. Step 6: Final answer
    x = 199,431.80

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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.