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Finding the Fourth Proportional to 114,295.30, 171,508.59 and 89,265.09

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Solution

The fourth proportional to 114,295.30, 171,508.59 and 89,265.09 is: 133,948.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,295.30 : 171,508.59 = 89,265.09 : x
  2. Step 2: Convert to fraction form
    114,295.30/171,508.59 = 89,265.09/x
  3. Step 3: Cross multiply
    114,295.30x = 171,508.59 × 89,265.09
  4. Step 4: Simplify right side
    114,295.30x = 15,309,729,400.54
  5. Step 5: Solve for x
    x = 15,309,729,400.54/114,295.30
  6. Step 6: Final answer
    x = 133,948.89

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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.