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Finding the Fourth Proportional to 171,531.29, 257,284.56 and 53,199.56

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Solution

The fourth proportional to 171,531.29, 257,284.56 and 53,199.56 is: 79,795.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,531.29 : 257,284.56 = 53,199.56 : x
  2. Step 2: Convert to fraction form
    171,531.29/257,284.56 = 53,199.56/x
  3. Step 3: Cross multiply
    171,531.29x = 257,284.56 × 53,199.56
  4. Step 4: Simplify right side
    171,531.29x = 13,687,424,100.37
  5. Step 5: Solve for x
    x = 13,687,424,100.37/171,531.29
  6. Step 6: Final answer
    x = 79,795.50

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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.