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Finding the Fourth Proportional to 102,111.74, 140,893.38 and 59,662.07

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Solution

The fourth proportional to 102,111.74, 140,893.38 and 59,662.07 is: 82,321.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,111.74 : 140,893.38 = 59,662.07 : x
  2. Step 2: Convert to fraction form
    102,111.74/140,893.38 = 59,662.07/x
  3. Step 3: Cross multiply
    102,111.74x = 140,893.38 × 59,662.07
  4. Step 4: Simplify right side
    102,111.74x = 8,405,990,700.10
  5. Step 5: Solve for x
    x = 8,405,990,700.10/102,111.74
  6. Step 6: Final answer
    x = 82,321.49

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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.