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Finding the Fourth Proportional to 205,028.67, 282,939.69 and 114,384.63

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Solution

The fourth proportional to 205,028.67, 282,939.69 and 114,384.63 is: 157,850.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,028.67 : 282,939.69 = 114,384.63 : x
  2. Step 2: Convert to fraction form
    205,028.67/282,939.69 = 114,384.63/x
  3. Step 3: Cross multiply
    205,028.67x = 282,939.69 × 114,384.63
  4. Step 4: Simplify right side
    205,028.67x = 32,363,951,752.96
  5. Step 5: Solve for x
    x = 32,363,951,752.96/205,028.67
  6. Step 6: Final answer
    x = 157,850.86

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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.