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Finding the Fourth Proportional to 181,706.40, 272,721.60 and 106,732.80

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Solution

The fourth proportional to 181,706.40, 272,721.60 and 106,732.80 is: 160,194.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,706.40 : 272,721.60 = 106,732.80 : x
  2. Step 2: Convert to fraction form
    181,706.40/272,721.60 = 106,732.80/x
  3. Step 3: Cross multiply
    181,706.40x = 272,721.60 × 106,732.80
  4. Step 4: Simplify right side
    181,706.40x = 29,108,339,988.48
  5. Step 5: Solve for x
    x = 29,108,339,988.48/181,706.40
  6. Step 6: Final answer
    x = 160,194.36

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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.