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Finding the Fourth Proportional to 208,541.90, 312,812.85 and 68,314.70

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Solution

The fourth proportional to 208,541.90, 312,812.85 and 68,314.70 is: 102,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,541.90 : 312,812.85 = 68,314.70 : x
  2. Step 2: Convert to fraction form
    208,541.90/312,812.85 = 68,314.70/x
  3. Step 3: Cross multiply
    208,541.90x = 312,812.85 × 68,314.70
  4. Step 4: Simplify right side
    208,541.90x = 21,369,716,003.90
  5. Step 5: Solve for x
    x = 21,369,716,003.90/208,541.90
  6. Step 6: Final answer
    x = 102,472.05

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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.