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Finding the Fourth Proportional to 180,650.98, 269,877.66 and 116,952.16

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Solution

The fourth proportional to 180,650.98, 269,877.66 and 116,952.16 is: 174,716.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,650.98 : 269,877.66 = 116,952.16 : x
  2. Step 2: Convert to fraction form
    180,650.98/269,877.66 = 116,952.16/x
  3. Step 3: Cross multiply
    180,650.98x = 269,877.66 × 116,952.16
  4. Step 4: Simplify right side
    180,650.98x = 31,562,775,272.75
  5. Step 5: Solve for x
    x = 31,562,775,272.75/180,650.98
  6. Step 6: Final answer
    x = 174,716.88

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.