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Finding the Fourth Proportional to 110,916, 166,272.48 and 40,741.92

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Solution

The fourth proportional to 110,916, 166,272.48 and 40,741.92 is: 61,075.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,916 : 166,272.48 = 40,741.92 : x
  2. Step 2: Convert to fraction form
    110,916/166,272.48 = 40,741.92/x
  3. Step 3: Cross multiply
    110,916x = 166,272.48 × 40,741.92
  4. Step 4: Simplify right side
    110,916x = 6,774,260,078.36
  5. Step 5: Solve for x
    x = 6,774,260,078.36/110,916
  6. Step 6: Final answer
    x = 61,075.59

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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.