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Finding the Fourth Proportional to 200,887.84, 277,205.02 and 120,313.30

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Solution

The fourth proportional to 200,887.84, 277,205.02 and 120,313.30 is: 166,020.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,887.84 : 277,205.02 = 120,313.30 : x
  2. Step 2: Convert to fraction form
    200,887.84/277,205.02 = 120,313.30/x
  3. Step 3: Cross multiply
    200,887.84x = 277,205.02 × 120,313.30
  4. Step 4: Simplify right side
    200,887.84x = 33,351,450,732.77
  5. Step 5: Solve for x
    x = 33,351,450,732.77/200,887.84
  6. Step 6: Final answer
    x = 166,020.26

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1.5x scale

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.