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Finding the Fourth Proportional to 202,900.32, 280,092.13 and 121,257.38

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Solution

The fourth proportional to 202,900.32, 280,092.13 and 121,257.38 is: 167,388.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,900.32 : 280,092.13 = 121,257.38 : x
  2. Step 2: Convert to fraction form
    202,900.32/280,092.13 = 121,257.38/x
  3. Step 3: Cross multiply
    202,900.32x = 280,092.13 × 121,257.38
  4. Step 4: Simplify right side
    202,900.32x = 33,963,238,239.51
  5. Step 5: Solve for x
    x = 33,963,238,239.51/202,900.32
  6. Step 6: Final answer
    x = 167,388.79

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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.