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Finding the Fourth Proportional to 111,324.16, 166,984.08 and 28,216

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Solution

The fourth proportional to 111,324.16, 166,984.08 and 28,216 is: 42,323.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,324.16 : 166,984.08 = 28,216 : x
  2. Step 2: Convert to fraction form
    111,324.16/166,984.08 = 28,216/x
  3. Step 3: Cross multiply
    111,324.16x = 166,984.08 × 28,216
  4. Step 4: Simplify right side
    111,324.16x = 4,711,622,801.28
  5. Step 5: Solve for x
    x = 4,711,622,801.28/111,324.16
  6. Step 6: Final answer
    x = 42,323.45

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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.