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Finding the Fourth Proportional to 202,491.06, 304,048.71 and 171,310.86

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Solution

The fourth proportional to 202,491.06, 304,048.71 and 171,310.86 is: 257,230.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,491.06 : 304,048.71 = 171,310.86 : x
  2. Step 2: Convert to fraction form
    202,491.06/304,048.71 = 171,310.86/x
  3. Step 3: Cross multiply
    202,491.06x = 304,048.71 × 171,310.86
  4. Step 4: Simplify right side
    202,491.06x = 52,086,845,991.99
  5. Step 5: Solve for x
    x = 52,086,845,991.99/202,491.06
  6. Step 6: Final answer
    x = 257,230.35

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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.