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Finding the Fourth Proportional to 201,411.44, 277,942.24 and 110,767.40

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Solution

The fourth proportional to 201,411.44, 277,942.24 and 110,767.40 is: 152,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411.44 : 277,942.24 = 110,767.40 : x
  2. Step 2: Convert to fraction form
    201,411.44/277,942.24 = 110,767.40/x
  3. Step 3: Cross multiply
    201,411.44x = 277,942.24 × 110,767.40
  4. Step 4: Simplify right side
    201,411.44x = 30,786,939,274.98
  5. Step 5: Solve for x
    x = 30,786,939,274.98/201,411.44
  6. Step 6: Final answer
    x = 152,855.96

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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.