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Finding the Fourth Proportional to 277,881.70, 383,471.70 and 157,020.38

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Solution

The fourth proportional to 277,881.70, 383,471.70 and 157,020.38 is: 216,685.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,881.70 : 383,471.70 = 157,020.38 : x
  2. Step 2: Convert to fraction form
    277,881.70/383,471.70 = 157,020.38/x
  3. Step 3: Cross multiply
    277,881.70x = 383,471.70 × 157,020.38
  4. Step 4: Simplify right side
    277,881.70x = 60,212,872,053.25
  5. Step 5: Solve for x
    x = 60,212,872,053.25/277,881.70
  6. Step 6: Final answer
    x = 216,685.27

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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.