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Finding the Fourth Proportional to 199,384.31, 274,994.86 and 127,771

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Solution

The fourth proportional to 199,384.31, 274,994.86 and 127,771 is: 176,224.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,384.31 : 274,994.86 = 127,771 : x
  2. Step 2: Convert to fraction form
    199,384.31/274,994.86 = 127,771/x
  3. Step 3: Cross multiply
    199,384.31x = 274,994.86 × 127,771
  4. Step 4: Simplify right side
    199,384.31x = 35,136,368,257.06
  5. Step 5: Solve for x
    x = 35,136,368,257.06/199,384.31
  6. Step 6: Final answer
    x = 176,224.34

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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.