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Finding the Fourth Proportional to 205,708.24, 284,001.24 and 134,212.24

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Solution

The fourth proportional to 205,708.24, 284,001.24 and 134,212.24 is: 185,293.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,708.24 : 284,001.24 = 134,212.24 : x
  2. Step 2: Convert to fraction form
    205,708.24/284,001.24 = 134,212.24/x
  3. Step 3: Cross multiply
    205,708.24x = 284,001.24 × 134,212.24
  4. Step 4: Simplify right side
    205,708.24x = 38,116,442,583.18
  5. Step 5: Solve for x
    x = 38,116,442,583.18/205,708.24
  6. Step 6: Final answer
    x = 185,293.71

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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.