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Finding the Fourth Proportional to 181,375, 272,078.18 and 50,047

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Solution

The fourth proportional to 181,375, 272,078.18 and 50,047 is: 75,074.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,375 : 272,078.18 = 50,047 : x
  2. Step 2: Convert to fraction form
    181,375/272,078.18 = 50,047/x
  3. Step 3: Cross multiply
    181,375x = 272,078.18 × 50,047
  4. Step 4: Simplify right side
    181,375x = 13,616,696,674.46
  5. Step 5: Solve for x
    x = 13,616,696,674.46/181,375
  6. Step 6: Final answer
    x = 75,074.83

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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.