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Finding the Fourth Proportional to 284,226.57, 392,232.74 and 156,902.25

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Solution

The fourth proportional to 284,226.57, 392,232.74 and 156,902.25 is: 216,525.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,226.57 : 392,232.74 = 156,902.25 : x
  2. Step 2: Convert to fraction form
    284,226.57/392,232.74 = 156,902.25/x
  3. Step 3: Cross multiply
    284,226.57x = 392,232.74 × 156,902.25
  4. Step 4: Simplify right side
    284,226.57x = 61,542,198,645.15
  5. Step 5: Solve for x
    x = 61,542,198,645.15/284,226.57
  6. Step 6: Final answer
    x = 216,525.14

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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.