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Finding the Fourth Proportional to 200,874.06, 277,101.54 and 119,154.78

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Solution

The fourth proportional to 200,874.06, 277,101.54 and 119,154.78 is: 164,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,874.06 : 277,101.54 = 119,154.78 : x
  2. Step 2: Convert to fraction form
    200,874.06/277,101.54 = 119,154.78/x
  3. Step 3: Cross multiply
    200,874.06x = 277,101.54 × 119,154.78
  4. Step 4: Simplify right side
    200,874.06x = 33,017,973,036.36
  5. Step 5: Solve for x
    x = 33,017,973,036.36/200,874.06
  6. Step 6: Final answer
    x = 164,371.51

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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.