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Finding the Fourth Proportional to 201,411.79, 277,942.73 and 110,767.76

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Solution

The fourth proportional to 201,411.79, 277,942.73 and 110,767.76 is: 152,856.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,411.79 : 277,942.73 = 110,767.76 : x
  2. Step 2: Convert to fraction form
    201,411.79/277,942.73 = 110,767.76/x
  3. Step 3: Cross multiply
    201,411.79x = 277,942.73 × 110,767.76
  4. Step 4: Simplify right side
    201,411.79x = 30,787,093,056.55
  5. Step 5: Solve for x
    x = 30,787,093,056.55/201,411.79
  6. Step 6: Final answer
    x = 152,856.46

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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.