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Finding the Fourth Proportional to 277,337.16, 416,059.68 and 106,546.43

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Solution

The fourth proportional to 277,337.16, 416,059.68 and 106,546.43 is: 159,840.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,337.16 : 416,059.68 = 106,546.43 : x
  2. Step 2: Convert to fraction form
    277,337.16/416,059.68 = 106,546.43/x
  3. Step 3: Cross multiply
    277,337.16x = 416,059.68 × 106,546.43
  4. Step 4: Simplify right side
    277,337.16x = 44,329,673,570.94
  5. Step 5: Solve for x
    x = 44,329,673,570.94/277,337.16
  6. Step 6: Final answer
    x = 159,840.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.