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Finding the Fourth Proportional to 202,764.47, 279,805.73 and 116,726.27

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Solution

The fourth proportional to 202,764.47, 279,805.73 and 116,726.27 is: 161,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,764.47 : 279,805.73 = 116,726.27 : x
  2. Step 2: Convert to fraction form
    202,764.47/279,805.73 = 116,726.27/x
  3. Step 3: Cross multiply
    202,764.47x = 279,805.73 × 116,726.27
  4. Step 4: Simplify right side
    202,764.47x = 32,660,677,204.87
  5. Step 5: Solve for x
    x = 32,660,677,204.87/202,764.47
  6. Step 6: Final answer
    x = 161,076.93

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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.