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Finding the Fourth Proportional to 164,647.32, 246,942.12 and 46,290.48

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Solution

The fourth proportional to 164,647.32, 246,942.12 and 46,290.48 is: 69,427.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647.32 : 246,942.12 = 46,290.48 : x
  2. Step 2: Convert to fraction form
    164,647.32/246,942.12 = 46,290.48/x
  3. Step 3: Cross multiply
    164,647.32x = 246,942.12 × 46,290.48
  4. Step 4: Simplify right side
    164,647.32x = 11,431,069,267.02
  5. Step 5: Solve for x
    x = 11,431,069,267.02/164,647.32
  6. Step 6: Final answer
    x = 69,427.61

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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.