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Finding the Fourth Proportional to 200,364.38, 276,502.84 and 115,486.92

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Solution

The fourth proportional to 200,364.38, 276,502.84 and 115,486.92 is: 159,371.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,364.38 : 276,502.84 = 115,486.92 : x
  2. Step 2: Convert to fraction form
    200,364.38/276,502.84 = 115,486.92/x
  3. Step 3: Cross multiply
    200,364.38x = 276,502.84 × 115,486.92
  4. Step 4: Simplify right side
    200,364.38x = 31,932,461,362.85
  5. Step 5: Solve for x
    x = 31,932,461,362.85/200,364.38
  6. Step 6: Final answer
    x = 159,371.95

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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.