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Finding the Fourth Proportional to 277,203.90, 382,541.94 and 149,879.50

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Solution

The fourth proportional to 277,203.90, 382,541.94 and 149,879.50 is: 206,834.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,203.90 : 382,541.94 = 149,879.50 : x
  2. Step 2: Convert to fraction form
    277,203.90/382,541.94 = 149,879.50/x
  3. Step 3: Cross multiply
    277,203.90x = 382,541.94 × 149,879.50
  4. Step 4: Simplify right side
    277,203.90x = 57,335,194,696.23
  5. Step 5: Solve for x
    x = 57,335,194,696.23/277,203.90
  6. Step 6: Final answer
    x = 206,834.01

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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.