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Finding the Fourth Proportional to 202,359.94, 278,997.11 and 165,927.15

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Solution

The fourth proportional to 202,359.94, 278,997.11 and 165,927.15 is: 228,766.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,359.94 : 278,997.11 = 165,927.15 : x
  2. Step 2: Convert to fraction form
    202,359.94/278,997.11 = 165,927.15/x
  3. Step 3: Cross multiply
    202,359.94x = 278,997.11 × 165,927.15
  4. Step 4: Simplify right side
    202,359.94x = 46,293,195,113.13
  5. Step 5: Solve for x
    x = 46,293,195,113.13/202,359.94
  6. Step 6: Final answer
    x = 228,766.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.