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Finding the Fourth Proportional to 212,847.16, 317,392.97 and 202,382.20

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Solution

The fourth proportional to 212,847.16, 317,392.97 and 202,382.20 is: 301,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,847.16 : 317,392.97 = 202,382.20 : x
  2. Step 2: Convert to fraction form
    212,847.16/317,392.97 = 202,382.20/x
  3. Step 3: Cross multiply
    212,847.16x = 317,392.97 × 202,382.20
  4. Step 4: Simplify right side
    212,847.16x = 64,234,687,533.13
  5. Step 5: Solve for x
    x = 64,234,687,533.13/212,847.16
  6. Step 6: Final answer
    x = 301,787.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.