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Finding the Fourth Proportional to 277,046.50, 382,324.26 and 157,814.50

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Solution

The fourth proportional to 277,046.50, 382,324.26 and 157,814.50 is: 217,784.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,046.50 : 382,324.26 = 157,814.50 : x
  2. Step 2: Convert to fraction form
    277,046.50/382,324.26 = 157,814.50/x
  3. Step 3: Cross multiply
    277,046.50x = 382,324.26 × 157,814.50
  4. Step 4: Simplify right side
    277,046.50x = 60,336,311,929.77
  5. Step 5: Solve for x
    x = 60,336,311,929.77/277,046.50
  6. Step 6: Final answer
    x = 217,784.06

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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.