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Finding the Fourth Proportional to 199,851.84, 275,792.22 and 109,205.87

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Solution

The fourth proportional to 199,851.84, 275,792.22 and 109,205.87 is: 150,702.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,851.84 : 275,792.22 = 109,205.87 : x
  2. Step 2: Convert to fraction form
    199,851.84/275,792.22 = 109,205.87/x
  3. Step 3: Cross multiply
    199,851.84x = 275,792.22 × 109,205.87
  4. Step 4: Simplify right side
    199,851.84x = 30,118,127,945.37
  5. Step 5: Solve for x
    x = 30,118,127,945.37/199,851.84
  6. Step 6: Final answer
    x = 150,702.28

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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.