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Finding the Fourth Proportional to 200,598.48, 276,634.26 and 120,013.20

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Solution

The fourth proportional to 200,598.48, 276,634.26 and 120,013.20 is: 165,503.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,598.48 : 276,634.26 = 120,013.20 : x
  2. Step 2: Convert to fraction form
    200,598.48/276,634.26 = 120,013.20/x
  3. Step 3: Cross multiply
    200,598.48x = 276,634.26 × 120,013.20
  4. Step 4: Simplify right side
    200,598.48x = 33,199,762,772.23
  5. Step 5: Solve for x
    x = 33,199,762,772.23/200,598.48
  6. Step 6: Final answer
    x = 165,503.56

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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.