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Finding the Fourth Proportional to 224,428.75, 309,718.16 and 123,833.23

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Solution

The fourth proportional to 224,428.75, 309,718.16 and 123,833.23 is: 170,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,428.75 : 309,718.16 = 123,833.23 : x
  2. Step 2: Convert to fraction form
    224,428.75/309,718.16 = 123,833.23/x
  3. Step 3: Cross multiply
    224,428.75x = 309,718.16 × 123,833.23
  4. Step 4: Simplify right side
    224,428.75x = 38,353,399,523.29
  5. Step 5: Solve for x
    x = 38,353,399,523.29/224,428.75
  6. Step 6: Final answer
    x = 170,893.43

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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.