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Finding the Fourth Proportional to 193,169.68, 289,741.78 and 66,780.52

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Solution

The fourth proportional to 193,169.68, 289,741.78 and 66,780.52 is: 100,166.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,169.68 : 289,741.78 = 66,780.52 : x
  2. Step 2: Convert to fraction form
    193,169.68/289,741.78 = 66,780.52/x
  3. Step 3: Cross multiply
    193,169.68x = 289,741.78 × 66,780.52
  4. Step 4: Simplify right side
    193,169.68x = 19,349,106,734.13
  5. Step 5: Solve for x
    x = 19,349,106,734.13/193,169.68
  6. Step 6: Final answer
    x = 100,166.38

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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.