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Finding the Fourth Proportional to 200,603.49, 276,835.93 and 120,034.41

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Solution

The fourth proportional to 200,603.49, 276,835.93 and 120,034.41 is: 165,649.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,603.49 : 276,835.93 = 120,034.41 : x
  2. Step 2: Convert to fraction form
    200,603.49/276,835.93 = 120,034.41/x
  3. Step 3: Cross multiply
    200,603.49x = 276,835.93 × 120,034.41
  4. Step 4: Simplify right side
    200,603.49x = 33,229,836,186.13
  5. Step 5: Solve for x
    x = 33,229,836,186.13/200,603.49
  6. Step 6: Final answer
    x = 165,649.35

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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.