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Finding the Fourth Proportional to 208,541.40, 312,812.10 and 68,314.20

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Solution

The fourth proportional to 208,541.40, 312,812.10 and 68,314.20 is: 102,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,541.40 : 312,812.10 = 68,314.20 : x
  2. Step 2: Convert to fraction form
    208,541.40/312,812.10 = 68,314.20/x
  3. Step 3: Cross multiply
    208,541.40x = 312,812.10 × 68,314.20
  4. Step 4: Simplify right side
    208,541.40x = 21,369,508,361.82
  5. Step 5: Solve for x
    x = 21,369,508,361.82/208,541.40
  6. Step 6: Final answer
    x = 102,471.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.