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Finding the Fourth Proportional to 110,872.32, 166,164.48 and 84,480

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Solution

The fourth proportional to 110,872.32, 166,164.48 and 84,480 is: 126,610.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,872.32 : 166,164.48 = 84,480 : x
  2. Step 2: Convert to fraction form
    110,872.32/166,164.48 = 84,480/x
  3. Step 3: Cross multiply
    110,872.32x = 166,164.48 × 84,480
  4. Step 4: Simplify right side
    110,872.32x = 14,037,575,270.40
  5. Step 5: Solve for x
    x = 14,037,575,270.40/110,872.32
  6. Step 6: Final answer
    x = 126,610.28

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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.