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Finding the Fourth Proportional to 310,542.85, 465,912.69 and 110,858.81

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Solution

The fourth proportional to 310,542.85, 465,912.69 and 110,858.81 is: 166,323.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,542.85 : 465,912.69 = 110,858.81 : x
  2. Step 2: Convert to fraction form
    310,542.85/465,912.69 = 110,858.81/x
  3. Step 3: Cross multiply
    310,542.85x = 465,912.69 × 110,858.81
  4. Step 4: Simplify right side
    310,542.85x = 51,650,527,542.08
  5. Step 5: Solve for x
    x = 51,650,527,542.08/310,542.85
  6. Step 6: Final answer
    x = 166,323.35

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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.