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Finding the Fourth Proportional to 164,098.10, 246,147.15 and 164,098.10

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Solution

The fourth proportional to 164,098.10, 246,147.15 and 164,098.10 is: 246,147.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,098.10 : 246,147.15 = 164,098.10 : x
  2. Step 2: Convert to fraction form
    164,098.10/246,147.15 = 164,098.10/x
  3. Step 3: Cross multiply
    164,098.10x = 246,147.15 × 164,098.10
  4. Step 4: Simplify right side
    164,098.10x = 40,392,279,635.42
  5. Step 5: Solve for x
    x = 40,392,279,635.42/164,098.10
  6. Step 6: Final answer
    x = 246,147.15

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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.