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Finding the Fourth Proportional to 201,092.51, 277,496.84 and 115,053.20

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Solution

The fourth proportional to 201,092.51, 277,496.84 and 115,053.20 is: 158,767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,092.51 : 277,496.84 = 115,053.20 : x
  2. Step 2: Convert to fraction form
    201,092.51/277,496.84 = 115,053.20/x
  3. Step 3: Cross multiply
    201,092.51x = 277,496.84 × 115,053.20
  4. Step 4: Simplify right side
    201,092.51x = 31,926,897,469.14
  5. Step 5: Solve for x
    x = 31,926,897,469.14/201,092.51
  6. Step 6: Final answer
    x = 158,767.22

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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.