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Finding the Fourth Proportional to 233,627.44, 322,405.99 and 126,197.47

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Solution

The fourth proportional to 233,627.44, 322,405.99 and 126,197.47 is: 174,152.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,627.44 : 322,405.99 = 126,197.47 : x
  2. Step 2: Convert to fraction form
    233,627.44/322,405.99 = 126,197.47/x
  3. Step 3: Cross multiply
    233,627.44x = 322,405.99 × 126,197.47
  4. Step 4: Simplify right side
    233,627.44x = 40,686,820,250.85
  5. Step 5: Solve for x
    x = 40,686,820,250.85/233,627.44
  6. Step 6: Final answer
    x = 174,152.57

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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.