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Finding the Fourth Proportional to 200,460, 276,643.92 and 111,036

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Solution

The fourth proportional to 200,460, 276,643.92 and 111,036 is: 153,234.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,460 : 276,643.92 = 111,036 : x
  2. Step 2: Convert to fraction form
    200,460/276,643.92 = 111,036/x
  3. Step 3: Cross multiply
    200,460x = 276,643.92 × 111,036
  4. Step 4: Simplify right side
    200,460x = 30,717,434,301.12
  5. Step 5: Solve for x
    x = 30,717,434,301.12/200,460
  6. Step 6: Final answer
    x = 153,234.73

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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.