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Finding the Fourth Proportional to 180,338.90, 248,822.97 and 116,600

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Solution

The fourth proportional to 180,338.90, 248,822.97 and 116,600 is: 160,879.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,338.90 : 248,822.97 = 116,600 : x
  2. Step 2: Convert to fraction form
    180,338.90/248,822.97 = 116,600/x
  3. Step 3: Cross multiply
    180,338.90x = 248,822.97 × 116,600
  4. Step 4: Simplify right side
    180,338.90x = 29,012,758,302
  5. Step 5: Solve for x
    x = 29,012,758,302/180,338.90
  6. Step 6: Final answer
    x = 160,879.09

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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.