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Finding the Fourth Proportional to 120,798, 166,703.04 and 67,085.28

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Solution

The fourth proportional to 120,798, 166,703.04 and 67,085.28 is: 92,578.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,798 : 166,703.04 = 67,085.28 : x
  2. Step 2: Convert to fraction form
    120,798/166,703.04 = 67,085.28/x
  3. Step 3: Cross multiply
    120,798x = 166,703.04 × 67,085.28
  4. Step 4: Simplify right side
    120,798x = 11,183,320,115.25
  5. Step 5: Solve for x
    x = 11,183,320,115.25/120,798
  6. Step 6: Final answer
    x = 92,578.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.