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Finding the Fourth Proportional to 109,399.50, 150,971.45 and 59,098.50

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Solution

The fourth proportional to 109,399.50, 150,971.45 and 59,098.50 is: 81,556.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,399.50 : 150,971.45 = 59,098.50 : x
  2. Step 2: Convert to fraction form
    109,399.50/150,971.45 = 59,098.50/x
  3. Step 3: Cross multiply
    109,399.50x = 150,971.45 × 59,098.50
  4. Step 4: Simplify right side
    109,399.50x = 8,922,185,942.33
  5. Step 5: Solve for x
    x = 8,922,185,942.33/109,399.50
  6. Step 6: Final answer
    x = 81,556.00

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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.