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Finding the Fourth Proportional to 219,850.30, 329,725.60 and 111,670

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Solution

The fourth proportional to 219,850.30, 329,725.60 and 111,670 is: 167,479.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,850.30 : 329,725.60 = 111,670 : x
  2. Step 2: Convert to fraction form
    219,850.30/329,725.60 = 111,670/x
  3. Step 3: Cross multiply
    219,850.30x = 329,725.60 × 111,670
  4. Step 4: Simplify right side
    219,850.30x = 36,820,457,752
  5. Step 5: Solve for x
    x = 36,820,457,752/219,850.30
  6. Step 6: Final answer
    x = 167,479.68

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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.