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Finding the Fourth Proportional to 275,959.50, 380,824.47 and 156,727.50

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Solution

The fourth proportional to 275,959.50, 380,824.47 and 156,727.50 is: 216,284.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,959.50 : 380,824.47 = 156,727.50 : x
  2. Step 2: Convert to fraction form
    275,959.50/380,824.47 = 156,727.50/x
  3. Step 3: Cross multiply
    275,959.50x = 380,824.47 × 156,727.50
  4. Step 4: Simplify right side
    275,959.50x = 59,685,667,121.93
  5. Step 5: Solve for x
    x = 59,685,667,121.93/275,959.50
  6. Step 6: Final answer
    x = 216,284.15

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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.