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Finding the Fourth Proportional to 200,356, 276,499.92 and 110,932

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Solution

The fourth proportional to 200,356, 276,499.92 and 110,932 is: 153,090.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,356 : 276,499.92 = 110,932 : x
  2. Step 2: Convert to fraction form
    200,356/276,499.92 = 110,932/x
  3. Step 3: Cross multiply
    200,356x = 276,499.92 × 110,932
  4. Step 4: Simplify right side
    200,356x = 30,672,689,125.44
  5. Step 5: Solve for x
    x = 30,672,689,125.44/200,356
  6. Step 6: Final answer
    x = 153,090.94

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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.