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Finding the Fourth Proportional to 171,833.10, 257,843.61 and 66,656.22

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Solution

The fourth proportional to 171,833.10, 257,843.61 and 66,656.22 is: 100,020.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,833.10 : 257,843.61 = 66,656.22 : x
  2. Step 2: Convert to fraction form
    171,833.10/257,843.61 = 66,656.22/x
  3. Step 3: Cross multiply
    171,833.10x = 257,843.61 × 66,656.22
  4. Step 4: Simplify right side
    171,833.10x = 17,186,880,393.75
  5. Step 5: Solve for x
    x = 17,186,880,393.75/171,833.10
  6. Step 6: Final answer
    x = 100,020.78

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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.