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Finding the Fourth Proportional to 233,643.15, 322,427.67 and 126,213.15

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Solution

The fourth proportional to 233,643.15, 322,427.67 and 126,213.15 is: 174,174.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,643.15 : 322,427.67 = 126,213.15 : x
  2. Step 2: Convert to fraction form
    233,643.15/322,427.67 = 126,213.15/x
  3. Step 3: Cross multiply
    233,643.15x = 322,427.67 × 126,213.15
  4. Step 4: Simplify right side
    233,643.15x = 40,694,611,877.86
  5. Step 5: Solve for x
    x = 40,694,611,877.86/233,643.15
  6. Step 6: Final answer
    x = 174,174.21

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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.