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Finding the Fourth Proportional to 199,210.53, 298,757.48 and 164,063.01

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Solution

The fourth proportional to 199,210.53, 298,757.48 and 164,063.01 is: 246,046.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,210.53 : 298,757.48 = 164,063.01 : x
  2. Step 2: Convert to fraction form
    199,210.53/298,757.48 = 164,063.01/x
  3. Step 3: Cross multiply
    199,210.53x = 298,757.48 × 164,063.01
  4. Step 4: Simplify right side
    199,210.53x = 49,015,050,608.50
  5. Step 5: Solve for x
    x = 49,015,050,608.50/199,210.53
  6. Step 6: Final answer
    x = 246,046.48

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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.