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Finding the Fourth Proportional to 310,180.38, 464,616.69 and 141,842.38

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Solution

The fourth proportional to 310,180.38, 464,616.69 and 141,842.38 is: 212,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,180.38 : 464,616.69 = 141,842.38 : x
  2. Step 2: Convert to fraction form
    310,180.38/464,616.69 = 141,842.38/x
  3. Step 3: Cross multiply
    310,180.38x = 464,616.69 × 141,842.38
  4. Step 4: Simplify right side
    310,180.38x = 65,902,337,072.89
  5. Step 5: Solve for x
    x = 65,902,337,072.89/310,180.38
  6. Step 6: Final answer
    x = 212,464.56

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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.