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Finding the Fourth Proportional to 333,435.29, 500,202.14 and 96,747.21

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Solution

The fourth proportional to 333,435.29, 500,202.14 and 96,747.21 is: 145,135.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,435.29 : 500,202.14 = 96,747.21 : x
  2. Step 2: Convert to fraction form
    333,435.29/500,202.14 = 96,747.21/x
  3. Step 3: Cross multiply
    333,435.29x = 500,202.14 × 96,747.21
  4. Step 4: Simplify right side
    333,435.29x = 48,393,160,997.29
  5. Step 5: Solve for x
    x = 48,393,160,997.29/333,435.29
  6. Step 6: Final answer
    x = 145,135.09

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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.