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Finding the Fourth Proportional to 200,734.22, 277,013.22 and 111,310.22

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Solution

The fourth proportional to 200,734.22, 277,013.22 and 111,310.22 is: 153,608.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.22 : 277,013.22 = 111,310.22 : x
  2. Step 2: Convert to fraction form
    200,734.22/277,013.22 = 111,310.22/x
  3. Step 3: Cross multiply
    200,734.22x = 277,013.22 × 111,310.22
  4. Step 4: Simplify right side
    200,734.22x = 30,834,403,153.64
  5. Step 5: Solve for x
    x = 30,834,403,153.64/200,734.22
  6. Step 6: Final answer
    x = 153,608.10

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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.