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Finding the Fourth Proportional to 233,573.42, 322,331.30 and 126,143.46

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Solution

The fourth proportional to 233,573.42, 322,331.30 and 126,143.46 is: 174,077.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,573.42 : 322,331.30 = 126,143.46 : x
  2. Step 2: Convert to fraction form
    233,573.42/322,331.30 = 126,143.46/x
  3. Step 3: Cross multiply
    233,573.42x = 322,331.30 × 126,143.46
  4. Step 4: Simplify right side
    233,573.42x = 40,659,985,290.62
  5. Step 5: Solve for x
    x = 40,659,985,290.62/233,573.42
  6. Step 6: Final answer
    x = 174,077.96

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