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Finding the Fourth Proportional to 227,007.40, 339,915.90 and 160,084.84

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Solution

The fourth proportional to 227,007.40, 339,915.90 and 160,084.84 is: 239,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,007.40 : 339,915.90 = 160,084.84 : x
  2. Step 2: Convert to fraction form
    227,007.40/339,915.90 = 160,084.84/x
  3. Step 3: Cross multiply
    227,007.40x = 339,915.90 × 160,084.84
  4. Step 4: Simplify right side
    227,007.40x = 54,415,382,464.96
  5. Step 5: Solve for x
    x = 54,415,382,464.96/227,007.40
  6. Step 6: Final answer
    x = 239,707.53

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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.