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Finding the Fourth Proportional to 181,674.12, 272,442.06 and 83,109

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Solution

The fourth proportional to 181,674.12, 272,442.06 and 83,109 is: 124,631.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,674.12 : 272,442.06 = 83,109 : x
  2. Step 2: Convert to fraction form
    181,674.12/272,442.06 = 83,109/x
  3. Step 3: Cross multiply
    181,674.12x = 272,442.06 × 83,109
  4. Step 4: Simplify right side
    181,674.12x = 22,642,387,164.54
  5. Step 5: Solve for x
    x = 22,642,387,164.54/181,674.12
  6. Step 6: Final answer
    x = 124,631.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.