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Finding the Fourth Proportional to 200,878.92, 277,189.02 and 119,194.20

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Solution

The fourth proportional to 200,878.92, 277,189.02 and 119,194.20 is: 164,473.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,878.92 : 277,189.02 = 119,194.20 : x
  2. Step 2: Convert to fraction form
    200,878.92/277,189.02 = 119,194.20/x
  3. Step 3: Cross multiply
    200,878.92x = 277,189.02 × 119,194.20
  4. Step 4: Simplify right side
    200,878.92x = 33,039,323,487.68
  5. Step 5: Solve for x
    x = 33,039,323,487.68/200,878.92
  6. Step 6: Final answer
    x = 164,473.82

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1.5x scale

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.