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Finding the Fourth Proportional to 202,012.61, 302,989.76 and 61,733.57

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Solution

The fourth proportional to 202,012.61, 302,989.76 and 61,733.57 is: 92,591.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,012.61 : 302,989.76 = 61,733.57 : x
  2. Step 2: Convert to fraction form
    202,012.61/302,989.76 = 61,733.57/x
  3. Step 3: Cross multiply
    202,012.61x = 302,989.76 × 61,733.57
  4. Step 4: Simplify right side
    202,012.61x = 18,704,639,249.58
  5. Step 5: Solve for x
    x = 18,704,639,249.58/202,012.61
  6. Step 6: Final answer
    x = 92,591.44

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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.