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Finding the Fourth Proportional to 216,884.87, 323,851.00 and 191,371.76

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Solution

The fourth proportional to 216,884.87, 323,851.00 and 191,371.76 is: 285,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,884.87 : 323,851.00 = 191,371.76 : x
  2. Step 2: Convert to fraction form
    216,884.87/323,851.00 = 191,371.76/x
  3. Step 3: Cross multiply
    216,884.87x = 323,851.00 × 191,371.76
  4. Step 4: Simplify right side
    216,884.87x = 61,975,933,750.08
  5. Step 5: Solve for x
    x = 61,975,933,750.08/216,884.87
  6. Step 6: Final answer
    x = 285,755.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.