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Finding the Fourth Proportional to 200,934.24, 301,191.84 and 67,768.80

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Solution

The fourth proportional to 200,934.24, 301,191.84 and 67,768.80 is: 101,582.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,934.24 : 301,191.84 = 67,768.80 : x
  2. Step 2: Convert to fraction form
    200,934.24/301,191.84 = 67,768.80/x
  3. Step 3: Cross multiply
    200,934.24x = 301,191.84 × 67,768.80
  4. Step 4: Simplify right side
    200,934.24x = 20,411,409,566.59
  5. Step 5: Solve for x
    x = 20,411,409,566.59/200,934.24
  6. Step 6: Final answer
    x = 101,582.54

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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.