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Finding the Fourth Proportional to 200,738.43, 277,018.23 and 110,092

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Solution

The fourth proportional to 200,738.43, 277,018.23 and 110,092 is: 151,926.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,738.43 : 277,018.23 = 110,092 : x
  2. Step 2: Convert to fraction form
    200,738.43/277,018.23 = 110,092/x
  3. Step 3: Cross multiply
    200,738.43x = 277,018.23 × 110,092
  4. Step 4: Simplify right side
    200,738.43x = 30,497,490,977.16
  5. Step 5: Solve for x
    x = 30,497,490,977.16/200,738.43
  6. Step 6: Final answer
    x = 151,926.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.