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Finding the Fourth Proportional to 171,987.30, 257,833.94 and 65,311.52

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Solution

The fourth proportional to 171,987.30, 257,833.94 and 65,311.52 is: 97,911.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,987.30 : 257,833.94 = 65,311.52 : x
  2. Step 2: Convert to fraction form
    171,987.30/257,833.94 = 65,311.52/x
  3. Step 3: Cross multiply
    171,987.30x = 257,833.94 × 65,311.52
  4. Step 4: Simplify right side
    171,987.30x = 16,839,524,913.26
  5. Step 5: Solve for x
    x = 16,839,524,913.26/171,987.30
  6. Step 6: Final answer
    x = 97,911.44

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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.