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Finding the Fourth Proportional to 171,311.72, 256,967.56 and 52,984.08

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Solution

The fourth proportional to 171,311.72, 256,967.56 and 52,984.08 is: 79,476.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,311.72 : 256,967.56 = 52,984.08 : x
  2. Step 2: Convert to fraction form
    171,311.72/256,967.56 = 52,984.08/x
  3. Step 3: Cross multiply
    171,311.72x = 256,967.56 × 52,984.08
  4. Step 4: Simplify right side
    171,311.72x = 13,615,189,756.44
  5. Step 5: Solve for x
    x = 13,615,189,756.44/171,311.72
  6. Step 6: Final answer
    x = 79,476.11

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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.