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Finding the Fourth Proportional to 255,684.38, 383,581.94 and 97,912.85

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Solution

The fourth proportional to 255,684.38, 383,581.94 and 97,912.85 is: 146,890.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,684.38 : 383,581.94 = 97,912.85 : x
  2. Step 2: Convert to fraction form
    255,684.38/383,581.94 = 97,912.85/x
  3. Step 3: Cross multiply
    255,684.38x = 383,581.94 × 97,912.85
  4. Step 4: Simplify right side
    255,684.38x = 37,557,598,546.46
  5. Step 5: Solve for x
    x = 37,557,598,546.46/255,684.38
  6. Step 6: Final answer
    x = 146,890.47

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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.