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Finding the Fourth Proportional to 233,517, 322,253.82 and 132,915

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Solution

The fourth proportional to 233,517, 322,253.82 and 132,915 is: 183,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,517 : 322,253.82 = 132,915 : x
  2. Step 2: Convert to fraction form
    233,517/322,253.82 = 132,915/x
  3. Step 3: Cross multiply
    233,517x = 322,253.82 × 132,915
  4. Step 4: Simplify right side
    233,517x = 42,832,366,485.30
  5. Step 5: Solve for x
    x = 42,832,366,485.30/233,517
  6. Step 6: Final answer
    x = 183,422.90

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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.