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Finding the Fourth Proportional to 200,232.26, 276,420.50 and 115,332.92

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Solution

The fourth proportional to 200,232.26, 276,420.50 and 115,332.92 is: 159,217.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232.26 : 276,420.50 = 115,332.92 : x
  2. Step 2: Convert to fraction form
    200,232.26/276,420.50 = 115,332.92/x
  3. Step 3: Cross multiply
    200,232.26x = 276,420.50 × 115,332.92
  4. Step 4: Simplify right side
    200,232.26x = 31,880,383,412.86
  5. Step 5: Solve for x
    x = 31,880,383,412.86/200,232.26
  6. Step 6: Final answer
    x = 159,217.02

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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.