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Finding the Fourth Proportional to 200,675.54, 300,824.97 and 67,462.64

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Solution

The fourth proportional to 200,675.54, 300,824.97 and 67,462.64 is: 101,130.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,675.54 : 300,824.97 = 67,462.64 : x
  2. Step 2: Convert to fraction form
    200,675.54/300,824.97 = 67,462.64/x
  3. Step 3: Cross multiply
    200,675.54x = 300,824.97 × 67,462.64
  4. Step 4: Simplify right side
    200,675.54x = 20,294,445,150.00
  5. Step 5: Solve for x
    x = 20,294,445,150.00/200,675.54
  6. Step 6: Final answer
    x = 101,130.64

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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.