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Finding the Fourth Proportional to 171,862.24, 257,710.02 and 100,808.10

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Solution

The fourth proportional to 171,862.24, 257,710.02 and 100,808.10 is: 151,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,862.24 : 257,710.02 = 100,808.10 : x
  2. Step 2: Convert to fraction form
    171,862.24/257,710.02 = 100,808.10/x
  3. Step 3: Cross multiply
    171,862.24x = 257,710.02 × 100,808.10
  4. Step 4: Simplify right side
    171,862.24x = 25,979,257,467.16
  5. Step 5: Solve for x
    x = 25,979,257,467.16/171,862.24
  6. Step 6: Final answer
    x = 151,163.27

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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.