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Finding the Fourth Proportional to 133,004.19, 199,504.31 and 61,887

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Solution

The fourth proportional to 133,004.19, 199,504.31 and 61,887 is: 92,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,004.19 : 199,504.31 = 61,887 : x
  2. Step 2: Convert to fraction form
    133,004.19/199,504.31 = 61,887/x
  3. Step 3: Cross multiply
    133,004.19x = 199,504.31 × 61,887
  4. Step 4: Simplify right side
    133,004.19x = 12,346,722,923.54
  5. Step 5: Solve for x
    x = 12,346,722,923.54/133,004.19
  6. Step 6: Final answer
    x = 92,829.58

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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.