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Finding the Fourth Proportional to 277,622.64, 383,100.84 and 155,113.38

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Solution

The fourth proportional to 277,622.64, 383,100.84 and 155,113.38 is: 214,046.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,622.64 : 383,100.84 = 155,113.38 : x
  2. Step 2: Convert to fraction form
    277,622.64/383,100.84 = 155,113.38/x
  3. Step 3: Cross multiply
    277,622.64x = 383,100.84 × 155,113.38
  4. Step 4: Simplify right side
    277,622.64x = 59,424,066,173.24
  5. Step 5: Solve for x
    x = 59,424,066,173.24/277,622.64
  6. Step 6: Final answer
    x = 214,046.18

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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.