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Finding the Fourth Proportional to 203,999.40, 305,999.10 and 199,852.20

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Solution

The fourth proportional to 203,999.40, 305,999.10 and 199,852.20 is: 299,778.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,999.40 : 305,999.10 = 199,852.20 : x
  2. Step 2: Convert to fraction form
    203,999.40/305,999.10 = 199,852.20/x
  3. Step 3: Cross multiply
    203,999.40x = 305,999.10 × 199,852.20
  4. Step 4: Simplify right side
    203,999.40x = 61,154,593,333.02
  5. Step 5: Solve for x
    x = 61,154,593,333.02/203,999.40
  6. Step 6: Final answer
    x = 299,778.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.