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Finding the Fourth Proportional to 171,510.66, 257,266.09 and 71,616.40

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Solution

The fourth proportional to 171,510.66, 257,266.09 and 71,616.40 is: 107,424.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,510.66 : 257,266.09 = 71,616.40 : x
  2. Step 2: Convert to fraction form
    171,510.66/257,266.09 = 71,616.40/x
  3. Step 3: Cross multiply
    171,510.66x = 257,266.09 × 71,616.40
  4. Step 4: Simplify right side
    171,510.66x = 18,424,471,207.88
  5. Step 5: Solve for x
    x = 18,424,471,207.88/171,510.66
  6. Step 6: Final answer
    x = 107,424.64

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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.