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Finding the Fourth Proportional to 193,151.93, 289,769.43 and 65,080.94

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Solution

The fourth proportional to 193,151.93, 289,769.43 and 65,080.94 is: 97,635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,151.93 : 289,769.43 = 65,080.94 : x
  2. Step 2: Convert to fraction form
    193,151.93/289,769.43 = 65,080.94/x
  3. Step 3: Cross multiply
    193,151.93x = 289,769.43 × 65,080.94
  4. Step 4: Simplify right side
    193,151.93x = 18,858,466,887.66
  5. Step 5: Solve for x
    x = 18,858,466,887.66/193,151.93
  6. Step 6: Final answer
    x = 97,635.40

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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.