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Finding the Fourth Proportional to 171,874.64, 257,825.80 and 65,309.62

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Solution

The fourth proportional to 171,874.64, 257,825.80 and 65,309.62 is: 97,969.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,874.64 : 257,825.80 = 65,309.62 : x
  2. Step 2: Convert to fraction form
    171,874.64/257,825.80 = 65,309.62/x
  3. Step 3: Cross multiply
    171,874.64x = 257,825.80 × 65,309.62
  4. Step 4: Simplify right side
    171,874.64x = 16,838,505,024.20
  5. Step 5: Solve for x
    x = 16,838,505,024.20/171,874.64
  6. Step 6: Final answer
    x = 97,969.69

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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.