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Finding the Fourth Proportional to 234,233.24, 323,241.80 and 126,803.20

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Solution

The fourth proportional to 234,233.24, 323,241.80 and 126,803.20 is: 174,988.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,233.24 : 323,241.80 = 126,803.20 : x
  2. Step 2: Convert to fraction form
    234,233.24/323,241.80 = 126,803.20/x
  3. Step 3: Cross multiply
    234,233.24x = 323,241.80 × 126,803.20
  4. Step 4: Simplify right side
    234,233.24x = 40,988,094,613.76
  5. Step 5: Solve for x
    x = 40,988,094,613.76/234,233.24
  6. Step 6: Final answer
    x = 174,988.38

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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.