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Finding the Fourth Proportional to 111,244.32, 166,768.64 and 57,823.84

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Solution

The fourth proportional to 111,244.32, 166,768.64 and 57,823.84 is: 86,684.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,244.32 : 166,768.64 = 57,823.84 : x
  2. Step 2: Convert to fraction form
    111,244.32/166,768.64 = 57,823.84/x
  3. Step 3: Cross multiply
    111,244.32x = 166,768.64 × 57,823.84
  4. Step 4: Simplify right side
    111,244.32x = 9,643,203,156.38
  5. Step 5: Solve for x
    x = 9,643,203,156.38/111,244.32
  6. Step 6: Final answer
    x = 86,684.90

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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.