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Finding the Fourth Proportional to 277,881.36, 383,491.20 and 157,027.74

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Solution

The fourth proportional to 277,881.36, 383,491.20 and 157,027.74 is: 216,706.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,881.36 : 383,491.20 = 157,027.74 : x
  2. Step 2: Convert to fraction form
    277,881.36/383,491.20 = 157,027.74/x
  3. Step 3: Cross multiply
    277,881.36x = 383,491.20 × 157,027.74
  4. Step 4: Simplify right side
    277,881.36x = 60,218,756,445.89
  5. Step 5: Solve for x
    x = 60,218,756,445.89/277,881.36
  6. Step 6: Final answer
    x = 216,706.71

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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.