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Finding the Fourth Proportional to 224,076.31, 309,221.28 and 122,102.64

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Solution

The fourth proportional to 224,076.31, 309,221.28 and 122,102.64 is: 168,499.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,076.31 : 309,221.28 = 122,102.64 : x
  2. Step 2: Convert to fraction form
    224,076.31/309,221.28 = 122,102.64/x
  3. Step 3: Cross multiply
    224,076.31x = 309,221.28 × 122,102.64
  4. Step 4: Simplify right side
    224,076.31x = 37,756,734,632.18
  5. Step 5: Solve for x
    x = 37,756,734,632.18/224,076.31
  6. Step 6: Final answer
    x = 168,499.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.