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Finding the Fourth Proportional to 276,892.30, 382,111.50 and 149,567.86

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Solution

The fourth proportional to 276,892.30, 382,111.50 and 149,567.86 is: 206,403.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,892.30 : 382,111.50 = 149,567.86 : x
  2. Step 2: Convert to fraction form
    276,892.30/382,111.50 = 149,567.86/x
  3. Step 3: Cross multiply
    276,892.30x = 382,111.50 × 149,567.86
  4. Step 4: Simplify right side
    276,892.30x = 57,151,599,336.39
  5. Step 5: Solve for x
    x = 57,151,599,336.39/276,892.30
  6. Step 6: Final answer
    x = 206,403.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.