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Finding the Fourth Proportional to 102,107.16, 140,911.38 and 59,664.78

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Solution

The fourth proportional to 102,107.16, 140,911.38 and 59,664.78 is: 82,339.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,107.16 : 140,911.38 = 59,664.78 : x
  2. Step 2: Convert to fraction form
    102,107.16/140,911.38 = 59,664.78/x
  3. Step 3: Cross multiply
    102,107.16x = 140,911.38 × 59,664.78
  4. Step 4: Simplify right side
    102,107.16x = 8,407,446,487.20
  5. Step 5: Solve for x
    x = 8,407,446,487.20/102,107.16
  6. Step 6: Final answer
    x = 82,339.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.