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Finding the Fourth Proportional to 310,902.75, 466,354.26 and 111,211.20

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Solution

The fourth proportional to 310,902.75, 466,354.26 and 111,211.20 is: 166,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902.75 : 466,354.26 = 111,211.20 : x
  2. Step 2: Convert to fraction form
    310,902.75/466,354.26 = 111,211.20/x
  3. Step 3: Cross multiply
    310,902.75x = 466,354.26 × 111,211.20
  4. Step 4: Simplify right side
    310,902.75x = 51,863,816,879.71
  5. Step 5: Solve for x
    x = 51,863,816,879.71/310,902.75
  6. Step 6: Final answer
    x = 166,816.85

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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.