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Finding the Fourth Proportional to 200,890.92, 277,205.52 and 119,206.20

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Solution

The fourth proportional to 200,890.92, 277,205.52 and 119,206.20 is: 164,490.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,890.92 : 277,205.52 = 119,206.20 : x
  2. Step 2: Convert to fraction form
    200,890.92/277,205.52 = 119,206.20/x
  3. Step 3: Cross multiply
    200,890.92x = 277,205.52 × 119,206.20
  4. Step 4: Simplify right side
    200,890.92x = 33,044,616,658.22
  5. Step 5: Solve for x
    x = 33,044,616,658.22/200,890.92
  6. Step 6: Final answer
    x = 164,490.34

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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.