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Finding the Fourth Proportional to 106,201.98, 159,302.95 and 43,874.10

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Solution

The fourth proportional to 106,201.98, 159,302.95 and 43,874.10 is: 65,811.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,201.98 : 159,302.95 = 43,874.10 : x
  2. Step 2: Convert to fraction form
    106,201.98/159,302.95 = 43,874.10/x
  3. Step 3: Cross multiply
    106,201.98x = 159,302.95 × 43,874.10
  4. Step 4: Simplify right side
    106,201.98x = 6,989,273,448.91
  5. Step 5: Solve for x
    x = 6,989,273,448.91/106,201.98
  6. Step 6: Final answer
    x = 65,811.14

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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.