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Finding the Fourth Proportional to 170,074, 255,121.80 and 51,754.06

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Solution

The fourth proportional to 170,074, 255,121.80 and 51,754.06 is: 77,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,074 : 255,121.80 = 51,754.06 : x
  2. Step 2: Convert to fraction form
    170,074/255,121.80 = 51,754.06/x
  3. Step 3: Cross multiply
    170,074x = 255,121.80 × 51,754.06
  4. Step 4: Simplify right side
    170,074x = 13,203,588,944.51
  5. Step 5: Solve for x
    x = 13,203,588,944.51/170,074
  6. Step 6: Final answer
    x = 77,634.38

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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.