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Finding the Fourth Proportional to 200,010.20, 299,942.40 and 66,894.80

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Solution

The fourth proportional to 200,010.20, 299,942.40 and 66,894.80 is: 100,317.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,010.20 : 299,942.40 = 66,894.80 : x
  2. Step 2: Convert to fraction form
    200,010.20/299,942.40 = 66,894.80/x
  3. Step 3: Cross multiply
    200,010.20x = 299,942.40 × 66,894.80
  4. Step 4: Simplify right side
    200,010.20x = 20,064,586,859.52
  5. Step 5: Solve for x
    x = 20,064,586,859.52/200,010.20
  6. Step 6: Final answer
    x = 100,317.82

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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.