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Finding the Fourth Proportional to 171,681.44, 257,475.38 and 71,825.46

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Solution

The fourth proportional to 171,681.44, 257,475.38 and 71,825.46 is: 107,718.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,681.44 : 257,475.38 = 71,825.46 : x
  2. Step 2: Convert to fraction form
    171,681.44/257,475.38 = 71,825.46/x
  3. Step 3: Cross multiply
    171,681.44x = 257,475.38 × 71,825.46
  4. Step 4: Simplify right side
    171,681.44x = 18,493,287,607.17
  5. Step 5: Solve for x
    x = 18,493,287,607.17/171,681.44
  6. Step 6: Final answer
    x = 107,718.62

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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.