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Finding the Fourth Proportional to 201,013.38, 277,378.83 and 116,128.62

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Solution

The fourth proportional to 201,013.38, 277,378.83 and 116,128.62 is: 160,246.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,013.38 : 277,378.83 = 116,128.62 : x
  2. Step 2: Convert to fraction form
    201,013.38/277,378.83 = 116,128.62/x
  3. Step 3: Cross multiply
    201,013.38x = 277,378.83 × 116,128.62
  4. Step 4: Simplify right side
    201,013.38x = 32,211,620,745.11
  5. Step 5: Solve for x
    x = 32,211,620,745.11/201,013.38
  6. Step 6: Final answer
    x = 160,246.15

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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.