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Finding the Fourth Proportional to 229,076.67, 343,664.36 and 69,139.22

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Solution

The fourth proportional to 229,076.67, 343,664.36 and 69,139.22 is: 103,723.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,076.67 : 343,664.36 = 69,139.22 : x
  2. Step 2: Convert to fraction form
    229,076.67/343,664.36 = 69,139.22/x
  3. Step 3: Cross multiply
    229,076.67x = 343,664.36 × 69,139.22
  4. Step 4: Simplify right side
    229,076.67x = 23,760,683,728.18
  5. Step 5: Solve for x
    x = 23,760,683,728.18/229,076.67
  6. Step 6: Final answer
    x = 103,723.72

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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.