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Finding the Fourth Proportional to 200,824.16, 301,051.92 and 69,404

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Solution

The fourth proportional to 200,824.16, 301,051.92 and 69,404 is: 104,042.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824.16 : 301,051.92 = 69,404 : x
  2. Step 2: Convert to fraction form
    200,824.16/301,051.92 = 69,404/x
  3. Step 3: Cross multiply
    200,824.16x = 301,051.92 × 69,404
  4. Step 4: Simplify right side
    200,824.16x = 20,894,207,455.68
  5. Step 5: Solve for x
    x = 20,894,207,455.68/200,824.16
  6. Step 6: Final answer
    x = 104,042.30

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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.