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Finding the Fourth Proportional to 138,597.85, 207,896.67 and 33,416.77

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Solution

The fourth proportional to 138,597.85, 207,896.67 and 33,416.77 is: 50,125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,597.85 : 207,896.67 = 33,416.77 : x
  2. Step 2: Convert to fraction form
    138,597.85/207,896.67 = 33,416.77/x
  3. Step 3: Cross multiply
    138,597.85x = 207,896.67 × 33,416.77
  4. Step 4: Simplify right side
    138,597.85x = 6,947,235,205.16
  5. Step 5: Solve for x
    x = 6,947,235,205.16/138,597.85
  6. Step 6: Final answer
    x = 50,125.13

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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.