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Finding the Fourth Proportional to 202,796.81, 304,202.28 and 69,676.10

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Solution

The fourth proportional to 202,796.81, 304,202.28 and 69,676.10 is: 104,516.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,796.81 : 304,202.28 = 69,676.10 : x
  2. Step 2: Convert to fraction form
    202,796.81/304,202.28 = 69,676.10/x
  3. Step 3: Cross multiply
    202,796.81x = 304,202.28 × 69,676.10
  4. Step 4: Simplify right side
    202,796.81x = 21,195,626,960.50
  5. Step 5: Solve for x
    x = 21,195,626,960.50/202,796.81
  6. Step 6: Final answer
    x = 104,516.57

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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.