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Finding the Fourth Proportional to 172,863, 259,294.50 and 41,535

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Solution

The fourth proportional to 172,863, 259,294.50 and 41,535 is: 62,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,863 : 259,294.50 = 41,535 : x
  2. Step 2: Convert to fraction form
    172,863/259,294.50 = 41,535/x
  3. Step 3: Cross multiply
    172,863x = 259,294.50 × 41,535
  4. Step 4: Simplify right side
    172,863x = 10,769,797,057.50
  5. Step 5: Solve for x
    x = 10,769,797,057.50/172,863
  6. Step 6: Final answer
    x = 62,302.50

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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.