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Finding the Fourth Proportional to 164,604.62, 246,906.98 and 46,276

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Solution

The fourth proportional to 164,604.62, 246,906.98 and 46,276 is: 69,414.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,604.62 : 246,906.98 = 46,276 : x
  2. Step 2: Convert to fraction form
    164,604.62/246,906.98 = 46,276/x
  3. Step 3: Cross multiply
    164,604.62x = 246,906.98 × 46,276
  4. Step 4: Simplify right side
    164,604.62x = 11,425,867,406.48
  5. Step 5: Solve for x
    x = 11,425,867,406.48/164,604.62
  6. Step 6: Final answer
    x = 69,414.01

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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.