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Finding the Fourth Proportional to 202,920.87, 304,394.67 and 53,164.83

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Solution

The fourth proportional to 202,920.87, 304,394.67 and 53,164.83 is: 79,750.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,920.87 : 304,394.67 = 53,164.83 : x
  2. Step 2: Convert to fraction form
    202,920.87/304,394.67 = 53,164.83/x
  3. Step 3: Cross multiply
    202,920.87x = 304,394.67 × 53,164.83
  4. Step 4: Simplify right side
    202,920.87x = 16,183,090,617.63
  5. Step 5: Solve for x
    x = 16,183,090,617.63/202,920.87
  6. Step 6: Final answer
    x = 79,750.75

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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.