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Finding the Fourth Proportional to 200,794.48, 277,118.20 and 128,264.12

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Solution

The fourth proportional to 200,794.48, 277,118.20 and 128,264.12 is: 177,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,794.48 : 277,118.20 = 128,264.12 : x
  2. Step 2: Convert to fraction form
    200,794.48/277,118.20 = 128,264.12/x
  3. Step 3: Cross multiply
    200,794.48x = 277,118.20 × 128,264.12
  4. Step 4: Simplify right side
    200,794.48x = 35,544,322,058.98
  5. Step 5: Solve for x
    x = 35,544,322,058.98/200,794.48
  6. Step 6: Final answer
    x = 177,018.42

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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.