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Finding the Fourth Proportional to 310,561.56, 465,727.74 and 110,828.52

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Solution

The fourth proportional to 310,561.56, 465,727.74 and 110,828.52 is: 166,201.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,561.56 : 465,727.74 = 110,828.52 : x
  2. Step 2: Convert to fraction form
    310,561.56/465,727.74 = 110,828.52/x
  3. Step 3: Cross multiply
    310,561.56x = 465,727.74 × 110,828.52
  4. Step 4: Simplify right side
    310,561.56x = 51,615,916,147.14
  5. Step 5: Solve for x
    x = 51,615,916,147.14/310,561.56
  6. Step 6: Final answer
    x = 166,201.88

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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.