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Finding the Fourth Proportional to 208,616.49, 312,949.17 and 66,411.93

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Solution

The fourth proportional to 208,616.49, 312,949.17 and 66,411.93 is: 99,625.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,616.49 : 312,949.17 = 66,411.93 : x
  2. Step 2: Convert to fraction form
    208,616.49/312,949.17 = 66,411.93/x
  3. Step 3: Cross multiply
    208,616.49x = 312,949.17 × 66,411.93
  4. Step 4: Simplify right side
    208,616.49x = 20,783,558,371.60
  5. Step 5: Solve for x
    x = 20,783,558,371.60/208,616.49
  6. Step 6: Final answer
    x = 99,625.67

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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.