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Finding the Fourth Proportional to 164,654.26, 246,981.39 and 46,325.54

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Solution

The fourth proportional to 164,654.26, 246,981.39 and 46,325.54 is: 69,488.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,654.26 : 246,981.39 = 46,325.54 : x
  2. Step 2: Convert to fraction form
    164,654.26/246,981.39 = 46,325.54/x
  3. Step 3: Cross multiply
    164,654.26x = 246,981.39 × 46,325.54
  4. Step 4: Simplify right side
    164,654.26x = 11,441,546,261.70
  5. Step 5: Solve for x
    x = 11,441,546,261.70/164,654.26
  6. Step 6: Final answer
    x = 69,488.31

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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.