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Finding the Fourth Proportional to 310,912.14, 466,318.80 and 111,195.30

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Solution

The fourth proportional to 310,912.14, 466,318.80 and 111,195.30 is: 166,775.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,912.14 : 466,318.80 = 111,195.30 : x
  2. Step 2: Convert to fraction form
    310,912.14/466,318.80 = 111,195.30/x
  3. Step 3: Cross multiply
    310,912.14x = 466,318.80 × 111,195.30
  4. Step 4: Simplify right side
    310,912.14x = 51,852,458,861.64
  5. Step 5: Solve for x
    x = 51,852,458,861.64/310,912.14
  6. Step 6: Final answer
    x = 166,775.28

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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.