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Finding the Fourth Proportional to 193,162.10, 289,743.15 and 164,002.10

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Solution

The fourth proportional to 193,162.10, 289,743.15 and 164,002.10 is: 246,003.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,162.10 : 289,743.15 = 164,002.10 : x
  2. Step 2: Convert to fraction form
    193,162.10/289,743.15 = 164,002.10/x
  3. Step 3: Cross multiply
    193,162.10x = 289,743.15 × 164,002.10
  4. Step 4: Simplify right side
    193,162.10x = 47,518,485,060.62
  5. Step 5: Solve for x
    x = 47,518,485,060.62/193,162.10
  6. Step 6: Final answer
    x = 246,003.15

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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.