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Finding the Fourth Proportional to 132,858.32, 199,382.25 and 73,741.28

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Solution

The fourth proportional to 132,858.32, 199,382.25 and 73,741.28 is: 110,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,858.32 : 199,382.25 = 73,741.28 : x
  2. Step 2: Convert to fraction form
    132,858.32/199,382.25 = 73,741.28/x
  3. Step 3: Cross multiply
    132,858.32x = 199,382.25 × 73,741.28
  4. Step 4: Simplify right side
    132,858.32x = 14,702,702,324.28
  5. Step 5: Solve for x
    x = 14,702,702,324.28/132,858.32
  6. Step 6: Final answer
    x = 110,664.52

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Why These Related Problems?

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