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Finding the Fourth Proportional to 464,425.75, 696,755.67 and 132,001.75

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Solution

The fourth proportional to 464,425.75, 696,755.67 and 132,001.75 is: 198,035.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,425.75 : 696,755.67 = 132,001.75 : x
  2. Step 2: Convert to fraction form
    464,425.75/696,755.67 = 132,001.75/x
  3. Step 3: Cross multiply
    464,425.75x = 696,755.67 × 132,001.75
  4. Step 4: Simplify right side
    464,425.75x = 91,972,967,762.42
  5. Step 5: Solve for x
    x = 91,972,967,762.42/464,425.75
  6. Step 6: Final answer
    x = 198,035.89

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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.