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Finding the Fourth Proportional to 200,671.94, 277,114.74 and 129,176.22

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Solution

The fourth proportional to 200,671.94, 277,114.74 and 129,176.22 is: 178,383.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,671.94 : 277,114.74 = 129,176.22 : x
  2. Step 2: Convert to fraction form
    200,671.94/277,114.74 = 129,176.22/x
  3. Step 3: Cross multiply
    200,671.94x = 277,114.74 × 129,176.22
  4. Step 4: Simplify right side
    200,671.94x = 35,796,634,619.48
  5. Step 5: Solve for x
    x = 35,796,634,619.48/200,671.94
  6. Step 6: Final answer
    x = 178,383.86

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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.