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Finding the Fourth Proportional to 201,406.54, 277,919.48 and 116,507.74

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Solution

The fourth proportional to 201,406.54, 277,919.48 and 116,507.74 is: 160,768.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,406.54 : 277,919.48 = 116,507.74 : x
  2. Step 2: Convert to fraction form
    201,406.54/277,919.48 = 116,507.74/x
  3. Step 3: Cross multiply
    201,406.54x = 277,919.48 × 116,507.74
  4. Step 4: Simplify right side
    201,406.54x = 32,379,770,516.78
  5. Step 5: Solve for x
    x = 32,379,770,516.78/201,406.54
  6. Step 6: Final answer
    x = 160,768.22

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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.