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Finding the Fourth Proportional to 205,972.50, 284,246.37 and 116,548.50

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Solution

The fourth proportional to 205,972.50, 284,246.37 and 116,548.50 is: 160,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,972.50 : 284,246.37 = 116,548.50 : x
  2. Step 2: Convert to fraction form
    205,972.50/284,246.37 = 116,548.50/x
  3. Step 3: Cross multiply
    205,972.50x = 284,246.37 × 116,548.50
  4. Step 4: Simplify right side
    205,972.50x = 33,128,488,053.95
  5. Step 5: Solve for x
    x = 33,128,488,053.95/205,972.50
  6. Step 6: Final answer
    x = 160,839.37

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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.