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Finding the Fourth Proportional to 180,133.83, 248,549.36 and 108,517.77

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Solution

The fourth proportional to 180,133.83, 248,549.36 and 108,517.77 is: 149,733.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,133.83 : 248,549.36 = 108,517.77 : x
  2. Step 2: Convert to fraction form
    180,133.83/248,549.36 = 108,517.77/x
  3. Step 3: Cross multiply
    180,133.83x = 248,549.36 × 108,517.77
  4. Step 4: Simplify right side
    180,133.83x = 26,972,021,739.54
  5. Step 5: Solve for x
    x = 26,972,021,739.54/180,133.83
  6. Step 6: Final answer
    x = 149,733.24

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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.