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Finding the Fourth Proportional to 200,894.32, 277,215.80 and 119,208.46

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Solution

The fourth proportional to 200,894.32, 277,215.80 and 119,208.46 is: 164,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.32 : 277,215.80 = 119,208.46 : x
  2. Step 2: Convert to fraction form
    200,894.32/277,215.80 = 119,208.46/x
  3. Step 3: Cross multiply
    200,894.32x = 277,215.80 × 119,208.46
  4. Step 4: Simplify right side
    200,894.32x = 33,046,468,506.91
  5. Step 5: Solve for x
    x = 33,046,468,506.91/200,894.32
  6. Step 6: Final answer
    x = 164,496.78

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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.