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Finding the Fourth Proportional to 277,053, 382,333.23 and 157,821

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Solution

The fourth proportional to 277,053, 382,333.23 and 157,821 is: 217,793.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,053 : 382,333.23 = 157,821 : x
  2. Step 2: Convert to fraction form
    277,053/382,333.23 = 157,821/x
  3. Step 3: Cross multiply
    277,053x = 382,333.23 × 157,821
  4. Step 4: Simplify right side
    277,053x = 60,340,212,691.83
  5. Step 5: Solve for x
    x = 60,340,212,691.83/277,053
  6. Step 6: Final answer
    x = 217,793.03

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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.