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Finding the Fourth Proportional to 277,137.72, 382,450.35 and 149,813.34

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Solution

The fourth proportional to 277,137.72, 382,450.35 and 149,813.34 is: 206,742.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,137.72 : 382,450.35 = 149,813.34 : x
  2. Step 2: Convert to fraction form
    277,137.72/382,450.35 = 149,813.34/x
  3. Step 3: Cross multiply
    277,137.72x = 382,450.35 × 149,813.34
  4. Step 4: Simplify right side
    277,137.72x = 57,296,164,317.67
  5. Step 5: Solve for x
    x = 57,296,164,317.67/277,137.72
  6. Step 6: Final answer
    x = 206,742.57

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1.5x scale

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.