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Finding the Fourth Proportional to 202,516.44, 279,448.72 and 111,866.96

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Solution

The fourth proportional to 202,516.44, 279,448.72 and 111,866.96 is: 154,363.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,516.44 : 279,448.72 = 111,866.96 : x
  2. Step 2: Convert to fraction form
    202,516.44/279,448.72 = 111,866.96/x
  3. Step 3: Cross multiply
    202,516.44x = 279,448.72 × 111,866.96
  4. Step 4: Simplify right side
    202,516.44x = 31,261,078,782.29
  5. Step 5: Solve for x
    x = 31,261,078,782.29/202,516.44
  6. Step 6: Final answer
    x = 154,363.17

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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.