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Finding the Fourth Proportional to 277,033.10, 414,512.85 and 183,721.10

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Solution

The fourth proportional to 277,033.10, 414,512.85 and 183,721.10 is: 274,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,033.10 : 414,512.85 = 183,721.10 : x
  2. Step 2: Convert to fraction form
    277,033.10/414,512.85 = 183,721.10/x
  3. Step 3: Cross multiply
    277,033.10x = 414,512.85 × 183,721.10
  4. Step 4: Simplify right side
    277,033.10x = 76,154,756,766.14
  5. Step 5: Solve for x
    x = 76,154,756,766.14/277,033.10
  6. Step 6: Final answer
    x = 274,894.07

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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.