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Finding the Fourth Proportional to 202,463.73, 279,401.13 and 111,817.98

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Solution

The fourth proportional to 202,463.73, 279,401.13 and 111,817.98 is: 154,309.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,463.73 : 279,401.13 = 111,817.98 : x
  2. Step 2: Convert to fraction form
    202,463.73/279,401.13 = 111,817.98/x
  3. Step 3: Cross multiply
    202,463.73x = 279,401.13 × 111,817.98
  4. Step 4: Simplify right side
    202,463.73x = 31,242,069,966.32
  5. Step 5: Solve for x
    x = 31,242,069,966.32/202,463.73
  6. Step 6: Final answer
    x = 154,309.47

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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.