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Finding the Fourth Proportional to 201,283.26, 277,771.11 and 110,639.22

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Solution

The fourth proportional to 201,283.26, 277,771.11 and 110,639.22 is: 152,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,283.26 : 277,771.11 = 110,639.22 : x
  2. Step 2: Convert to fraction form
    201,283.26/277,771.11 = 110,639.22/x
  3. Step 3: Cross multiply
    201,283.26x = 277,771.11 × 110,639.22
  4. Step 4: Simplify right side
    201,283.26x = 30,732,378,948.93
  5. Step 5: Solve for x
    x = 30,732,378,948.93/201,283.26
  6. Step 6: Final answer
    x = 152,682.24

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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.