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Finding the Fourth Proportional to 171,164.10, 256,782.60 and 52,847.40

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Solution

The fourth proportional to 171,164.10, 256,782.60 and 52,847.40 is: 79,282.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,164.10 : 256,782.60 = 52,847.40 : x
  2. Step 2: Convert to fraction form
    171,164.10/256,782.60 = 52,847.40/x
  3. Step 3: Cross multiply
    171,164.10x = 256,782.60 × 52,847.40
  4. Step 4: Simplify right side
    171,164.10x = 13,570,292,775.24
  5. Step 5: Solve for x
    x = 13,570,292,775.24/171,164.10
  6. Step 6: Final answer
    x = 79,282.35

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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.