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Finding the Fourth Proportional to 109,550.68, 164,409.14 and 73,927.69

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Solution

The fourth proportional to 109,550.68, 164,409.14 and 73,927.69 is: 110,947.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,550.68 : 164,409.14 = 73,927.69 : x
  2. Step 2: Convert to fraction form
    109,550.68/164,409.14 = 73,927.69/x
  3. Step 3: Cross multiply
    109,550.68x = 164,409.14 × 73,927.69
  4. Step 4: Simplify right side
    109,550.68x = 12,154,387,708.88
  5. Step 5: Solve for x
    x = 12,154,387,708.88/109,550.68
  6. Step 6: Final answer
    x = 110,947.63

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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.