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Finding the Fourth Proportional to 310,910.14, 466,315.80 and 111,193.30

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Solution

The fourth proportional to 310,910.14, 466,315.80 and 111,193.30 is: 166,772.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,910.14 : 466,315.80 = 111,193.30 : x
  2. Step 2: Convert to fraction form
    310,910.14/466,315.80 = 111,193.30/x
  3. Step 3: Cross multiply
    310,910.14x = 466,315.80 × 111,193.30
  4. Step 4: Simplify right side
    310,910.14x = 51,851,192,644.14
  5. Step 5: Solve for x
    x = 51,851,192,644.14/310,910.14
  6. Step 6: Final answer
    x = 166,772.28

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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.