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Finding the Fourth Proportional to 200,894.42, 277,215.96 and 119,208.59

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Solution

The fourth proportional to 200,894.42, 277,215.96 and 119,208.59 is: 164,496.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.42 : 277,215.96 = 119,208.59 : x
  2. Step 2: Convert to fraction form
    200,894.42/277,215.96 = 119,208.59/x
  3. Step 3: Cross multiply
    200,894.42x = 277,215.96 × 119,208.59
  4. Step 4: Simplify right side
    200,894.42x = 33,046,523,717.10
  5. Step 5: Solve for x
    x = 33,046,523,717.10/200,894.42
  6. Step 6: Final answer
    x = 164,496.98

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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.