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Finding the Fourth Proportional to 170,102.66, 255,144.60 and 51,764.76

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Solution

The fourth proportional to 170,102.66, 255,144.60 and 51,764.76 is: 77,644.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,102.66 : 255,144.60 = 51,764.76 : x
  2. Step 2: Convert to fraction form
    170,102.66/255,144.60 = 51,764.76/x
  3. Step 3: Cross multiply
    170,102.66x = 255,144.60 × 51,764.76
  4. Step 4: Simplify right side
    170,102.66x = 13,207,498,984.30
  5. Step 5: Solve for x
    x = 13,207,498,984.30/170,102.66
  6. Step 6: Final answer
    x = 77,644.28

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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.