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Finding the Fourth Proportional to 126,224.68, 174,181.44 and 69,637

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Solution

The fourth proportional to 126,224.68, 174,181.44 and 69,637 is: 96,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,224.68 : 174,181.44 = 69,637 : x
  2. Step 2: Convert to fraction form
    126,224.68/174,181.44 = 69,637/x
  3. Step 3: Cross multiply
    126,224.68x = 174,181.44 × 69,637
  4. Step 4: Simplify right side
    126,224.68x = 12,129,472,937.28
  5. Step 5: Solve for x
    x = 12,129,472,937.28/126,224.68
  6. Step 6: Final answer
    x = 96,094.31

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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.