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Finding the Fourth Proportional to 233,836, 322,693.32 and 126,406.12

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Solution

The fourth proportional to 233,836, 322,693.32 and 126,406.12 is: 174,440.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,836 : 322,693.32 = 126,406.12 : x
  2. Step 2: Convert to fraction form
    233,836/322,693.32 = 126,406.12/x
  3. Step 3: Cross multiply
    233,836x = 322,693.32 × 126,406.12
  4. Step 4: Simplify right side
    233,836x = 40,790,410,531.12
  5. Step 5: Solve for x
    x = 40,790,410,531.12/233,836
  6. Step 6: Final answer
    x = 174,440.25

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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.