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Finding the Fourth Proportional to 200,456.92, 276,623.33 and 114,420.34

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Solution

The fourth proportional to 200,456.92, 276,623.33 and 114,420.34 is: 157,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,456.92 : 276,623.33 = 114,420.34 : x
  2. Step 2: Convert to fraction form
    200,456.92/276,623.33 = 114,420.34/x
  3. Step 3: Cross multiply
    200,456.92x = 276,623.33 × 114,420.34
  4. Step 4: Simplify right side
    200,456.92x = 31,651,334,206.87
  5. Step 5: Solve for x
    x = 31,651,334,206.87/200,456.92
  6. Step 6: Final answer
    x = 157,895.94

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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.