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Finding the Fourth Proportional to 200,869.49, 277,199.13 and 110,226.97

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Solution

The fourth proportional to 200,869.49, 277,199.13 and 110,226.97 is: 152,112.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,869.49 : 277,199.13 = 110,226.97 : x
  2. Step 2: Convert to fraction form
    200,869.49/277,199.13 = 110,226.97/x
  3. Step 3: Cross multiply
    200,869.49x = 277,199.13 × 110,226.97
  4. Step 4: Simplify right side
    200,869.49x = 30,554,820,186.54
  5. Step 5: Solve for x
    x = 30,554,820,186.54/200,869.49
  6. Step 6: Final answer
    x = 152,112.80

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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.