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Finding the Fourth Proportional to 199,203.95, 298,835.36 and 64,222.90

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Solution

The fourth proportional to 199,203.95, 298,835.36 and 64,222.90 is: 96,343.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,203.95 : 298,835.36 = 64,222.90 : x
  2. Step 2: Convert to fraction form
    199,203.95/298,835.36 = 64,222.90/x
  3. Step 3: Cross multiply
    199,203.95x = 298,835.36 × 64,222.90
  4. Step 4: Simplify right side
    199,203.95x = 19,192,073,441.74
  5. Step 5: Solve for x
    x = 19,192,073,441.74/199,203.95
  6. Step 6: Final answer
    x = 96,343.84

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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.