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Finding the Fourth Proportional to 109,409.99, 164,049.26 and 42,770.75

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Solution

The fourth proportional to 109,409.99, 164,049.26 and 42,770.75 is: 64,130.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.99 : 164,049.26 = 42,770.75 : x
  2. Step 2: Convert to fraction form
    109,409.99/164,049.26 = 42,770.75/x
  3. Step 3: Cross multiply
    109,409.99x = 164,049.26 × 42,770.75
  4. Step 4: Simplify right side
    109,409.99x = 7,016,509,887.15
  5. Step 5: Solve for x
    x = 7,016,509,887.15/109,409.99
  6. Step 6: Final answer
    x = 64,130.43

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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.