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Finding the Fourth Proportional to 165,537.50, 248,345.13 and 54,729.50

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Solution

The fourth proportional to 165,537.50, 248,345.13 and 54,729.50 is: 82,107.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,537.50 : 248,345.13 = 54,729.50 : x
  2. Step 2: Convert to fraction form
    165,537.50/248,345.13 = 54,729.50/x
  3. Step 3: Cross multiply
    165,537.50x = 248,345.13 × 54,729.50
  4. Step 4: Simplify right side
    165,537.50x = 13,591,804,792.34
  5. Step 5: Solve for x
    x = 13,591,804,792.34/165,537.50
  6. Step 6: Final answer
    x = 82,107.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.