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Finding the Fourth Proportional to 200,463.84, 276,640.08 and 119,891.36

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Solution

The fourth proportional to 200,463.84, 276,640.08 and 119,891.36 is: 165,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,463.84 : 276,640.08 = 119,891.36 : x
  2. Step 2: Convert to fraction form
    200,463.84/276,640.08 = 119,891.36/x
  3. Step 3: Cross multiply
    200,463.84x = 276,640.08 × 119,891.36
  4. Step 4: Simplify right side
    200,463.84x = 33,166,754,038.51
  5. Step 5: Solve for x
    x = 33,166,754,038.51/200,463.84
  6. Step 6: Final answer
    x = 165,450.06

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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.