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Finding the Fourth Proportional to 201,841.07, 302,769.90 and 75,468.51

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Solution

The fourth proportional to 201,841.07, 302,769.90 and 75,468.51 is: 113,205.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,841.07 : 302,769.90 = 75,468.51 : x
  2. Step 2: Convert to fraction form
    201,841.07/302,769.90 = 75,468.51/x
  3. Step 3: Cross multiply
    201,841.07x = 302,769.90 × 75,468.51
  4. Step 4: Simplify right side
    201,841.07x = 22,849,593,225.85
  5. Step 5: Solve for x
    x = 22,849,593,225.85/201,841.07
  6. Step 6: Final answer
    x = 113,205.87

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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.