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Finding the Fourth Proportional to 171,967.80, 257,514.30 and 164,094.60

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Solution

The fourth proportional to 171,967.80, 257,514.30 and 164,094.60 is: 245,724.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,967.80 : 257,514.30 = 164,094.60 : x
  2. Step 2: Convert to fraction form
    171,967.80/257,514.30 = 164,094.60/x
  3. Step 3: Cross multiply
    171,967.80x = 257,514.30 × 164,094.60
  4. Step 4: Simplify right side
    171,967.80x = 42,256,706,052.78
  5. Step 5: Solve for x
    x = 42,256,706,052.78/171,967.80
  6. Step 6: Final answer
    x = 245,724.53

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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.