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Finding the Fourth Proportional to 201,335.42, 277,844.78 and 110,692.02

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Solution

The fourth proportional to 201,335.42, 277,844.78 and 110,692.02 is: 152,756.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,335.42 : 277,844.78 = 110,692.02 : x
  2. Step 2: Convert to fraction form
    201,335.42/277,844.78 = 110,692.02/x
  3. Step 3: Cross multiply
    201,335.42x = 277,844.78 × 110,692.02
  4. Step 4: Simplify right side
    201,335.42x = 30,755,199,700.43
  5. Step 5: Solve for x
    x = 30,755,199,700.43/201,335.42
  6. Step 6: Final answer
    x = 152,756.03

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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.