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Finding the Fourth Proportional to 310,930.20, 466,164.90 and 133,291.80

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Solution

The fourth proportional to 310,930.20, 466,164.90 and 133,291.80 is: 199,838.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,930.20 : 466,164.90 = 133,291.80 : x
  2. Step 2: Convert to fraction form
    310,930.20/466,164.90 = 133,291.80/x
  3. Step 3: Cross multiply
    310,930.20x = 466,164.90 × 133,291.80
  4. Step 4: Simplify right side
    310,930.20x = 62,135,958,617.82
  5. Step 5: Solve for x
    x = 62,135,958,617.82/310,930.20
  6. Step 6: Final answer
    x = 199,838.93

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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.