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Finding the Fourth Proportional to 199,738.90, 275,638.28 and 109,094.90

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Solution

The fourth proportional to 199,738.90, 275,638.28 and 109,094.90 is: 150,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,738.90 : 275,638.28 = 109,094.90 : x
  2. Step 2: Convert to fraction form
    199,738.90/275,638.28 = 109,094.90/x
  3. Step 3: Cross multiply
    199,738.90x = 275,638.28 × 109,094.90
  4. Step 4: Simplify right side
    199,738.90x = 30,070,730,592.77
  5. Step 5: Solve for x
    x = 30,070,730,592.77/199,738.90
  6. Step 6: Final answer
    x = 150,550.20

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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.