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Finding the Fourth Proportional to 181,951.80, 272,927.70 and 82,159.80

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Solution

The fourth proportional to 181,951.80, 272,927.70 and 82,159.80 is: 123,239.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,951.80 : 272,927.70 = 82,159.80 : x
  2. Step 2: Convert to fraction form
    181,951.80/272,927.70 = 82,159.80/x
  3. Step 3: Cross multiply
    181,951.80x = 272,927.70 × 82,159.80
  4. Step 4: Simplify right side
    181,951.80x = 22,423,685,246.46
  5. Step 5: Solve for x
    x = 22,423,685,246.46/181,951.80
  6. Step 6: Final answer
    x = 123,239.70

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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.