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Finding the Fourth Proportional to 170,091, 255,147.30 and 51,771.06

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Solution

The fourth proportional to 170,091, 255,147.30 and 51,771.06 is: 77,659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,091 : 255,147.30 = 51,771.06 : x
  2. Step 2: Convert to fraction form
    170,091/255,147.30 = 51,771.06/x
  3. Step 3: Cross multiply
    170,091x = 255,147.30 × 51,771.06
  4. Step 4: Simplify right side
    170,091x = 13,209,246,177.14
  5. Step 5: Solve for x
    x = 13,209,246,177.14/170,091
  6. Step 6: Final answer
    x = 77,659.88

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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.