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Finding the Fourth Proportional to 200,824.77, 301,026.97 and 67,659.02

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Solution

The fourth proportional to 200,824.77, 301,026.97 and 67,659.02 is: 101,417.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,824.77 : 301,026.97 = 67,659.02 : x
  2. Step 2: Convert to fraction form
    200,824.77/301,026.97 = 67,659.02/x
  3. Step 3: Cross multiply
    200,824.77x = 301,026.97 × 67,659.02
  4. Step 4: Simplify right side
    200,824.77x = 20,367,189,783.77
  5. Step 5: Solve for x
    x = 20,367,189,783.77/200,824.77
  6. Step 6: Final answer
    x = 101,417.72

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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.