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Finding the Fourth Proportional to 151,098.44, 208,523.22 and 84,029

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Solution

The fourth proportional to 151,098.44, 208,523.22 and 84,029 is: 115,964.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,098.44 : 208,523.22 = 84,029 : x
  2. Step 2: Convert to fraction form
    151,098.44/208,523.22 = 84,029/x
  3. Step 3: Cross multiply
    151,098.44x = 208,523.22 × 84,029
  4. Step 4: Simplify right side
    151,098.44x = 17,521,997,653.38
  5. Step 5: Solve for x
    x = 17,521,997,653.38/151,098.44
  6. Step 6: Final answer
    x = 115,964.12

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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.