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Finding the Fourth Proportional to 200,901.60, 277,243.41 and 110,259.06

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Solution

The fourth proportional to 200,901.60, 277,243.41 and 110,259.06 is: 152,157.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,901.60 : 277,243.41 = 110,259.06 : x
  2. Step 2: Convert to fraction form
    200,901.60/277,243.41 = 110,259.06/x
  3. Step 3: Cross multiply
    200,901.60x = 277,243.41 × 110,259.06
  4. Step 4: Simplify right side
    200,901.60x = 30,568,597,777.79
  5. Step 5: Solve for x
    x = 30,568,597,777.79/200,901.60
  6. Step 6: Final answer
    x = 152,157.06

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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.