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Finding the Fourth Proportional to 202,278.75, 303,418.13 and 54,534.75

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Solution

The fourth proportional to 202,278.75, 303,418.13 and 54,534.75 is: 81,802.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,278.75 : 303,418.13 = 54,534.75 : x
  2. Step 2: Convert to fraction form
    202,278.75/303,418.13 = 54,534.75/x
  3. Step 3: Cross multiply
    202,278.75x = 303,418.13 × 54,534.75
  4. Step 4: Simplify right side
    202,278.75x = 16,546,831,592.34
  5. Step 5: Solve for x
    x = 16,546,831,592.34/202,278.75
  6. Step 6: Final answer
    x = 81,802.13

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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.