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Finding the Fourth Proportional to 202,709.25, 304,064.01 and 54,965.25

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Solution

The fourth proportional to 202,709.25, 304,064.01 and 54,965.25 is: 82,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,709.25 : 304,064.01 = 54,965.25 : x
  2. Step 2: Convert to fraction form
    202,709.25/304,064.01 = 54,965.25/x
  3. Step 3: Cross multiply
    202,709.25x = 304,064.01 × 54,965.25
  4. Step 4: Simplify right side
    202,709.25x = 16,712,954,325.65
  5. Step 5: Solve for x
    x = 16,712,954,325.65/202,709.25
  6. Step 6: Final answer
    x = 82,447.91

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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.