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Finding the Fourth Proportional to 277,519.85, 416,445.85 and 119,748.31

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Solution

The fourth proportional to 277,519.85, 416,445.85 and 119,748.31 is: 179,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,519.85 : 416,445.85 = 119,748.31 : x
  2. Step 2: Convert to fraction form
    277,519.85/416,445.85 = 119,748.31/x
  3. Step 3: Cross multiply
    277,519.85x = 416,445.85 × 119,748.31
  4. Step 4: Simplify right side
    277,519.85x = 49,868,685,927.67
  5. Step 5: Solve for x
    x = 49,868,685,927.67/277,519.85
  6. Step 6: Final answer
    x = 179,694.12

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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.