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Finding the Fourth Proportional to 180,531, 248,906.66 and 115,886.20

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Solution

The fourth proportional to 180,531, 248,906.66 and 115,886.20 is: 159,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,531 : 248,906.66 = 115,886.20 : x
  2. Step 2: Convert to fraction form
    180,531/248,906.66 = 115,886.20/x
  3. Step 3: Cross multiply
    180,531x = 248,906.66 × 115,886.20
  4. Step 4: Simplify right side
    180,531x = 28,844,846,982.09
  5. Step 5: Solve for x
    x = 28,844,846,982.09/180,531
  6. Step 6: Final answer
    x = 159,777.81

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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.