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Finding the Fourth Proportional to 208,792.81, 288,067.09 and 116,898.56

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Solution

The fourth proportional to 208,792.81, 288,067.09 and 116,898.56 is: 161,282.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,792.81 : 288,067.09 = 116,898.56 : x
  2. Step 2: Convert to fraction form
    208,792.81/288,067.09 = 116,898.56/x
  3. Step 3: Cross multiply
    208,792.81x = 288,067.09 × 116,898.56
  4. Step 4: Simplify right side
    208,792.81x = 33,674,626,699.73
  5. Step 5: Solve for x
    x = 33,674,626,699.73/208,792.81
  6. Step 6: Final answer
    x = 161,282.50

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Why These Related Problems?

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