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Finding the Fourth Proportional to 199,203.40, 298,805.10 and 185,206.60

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Solution

The fourth proportional to 199,203.40, 298,805.10 and 185,206.60 is: 277,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,203.40 : 298,805.10 = 185,206.60 : x
  2. Step 2: Convert to fraction form
    199,203.40/298,805.10 = 185,206.60/x
  3. Step 3: Cross multiply
    199,203.40x = 298,805.10 × 185,206.60
  4. Step 4: Simplify right side
    199,203.40x = 55,340,676,633.66
  5. Step 5: Solve for x
    x = 55,340,676,633.66/199,203.40
  6. Step 6: Final answer
    x = 277,809.90

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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.