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Finding the Fourth Proportional to 202,758.36, 304,144.90 and 69,637.84

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Solution

The fourth proportional to 202,758.36, 304,144.90 and 69,637.84 is: 104,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,758.36 : 304,144.90 = 69,637.84 : x
  2. Step 2: Convert to fraction form
    202,758.36/304,144.90 = 69,637.84/x
  3. Step 3: Cross multiply
    202,758.36x = 304,144.90 × 69,637.84
  4. Step 4: Simplify right side
    202,758.36x = 21,179,993,883.02
  5. Step 5: Solve for x
    x = 21,179,993,883.02/202,758.36
  6. Step 6: Final answer
    x = 104,459.29

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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.