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Finding the Fourth Proportional to 310,782.24, 466,105.89 and 111,116.40

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Solution

The fourth proportional to 310,782.24, 466,105.89 and 111,116.40 is: 166,650.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,782.24 : 466,105.89 = 111,116.40 : x
  2. Step 2: Convert to fraction form
    310,782.24/466,105.89 = 111,116.40/x
  3. Step 3: Cross multiply
    310,782.24x = 466,105.89 × 111,116.40
  4. Step 4: Simplify right side
    310,782.24x = 51,792,008,515.60
  5. Step 5: Solve for x
    x = 51,792,008,515.60/310,782.24
  6. Step 6: Final answer
    x = 166,650.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.