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Finding the Fourth Proportional to 164,893.12, 247,311.73 and 46,536.73

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Solution

The fourth proportional to 164,893.12, 247,311.73 and 46,536.73 is: 69,797.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,893.12 : 247,311.73 = 46,536.73 : x
  2. Step 2: Convert to fraction form
    164,893.12/247,311.73 = 46,536.73/x
  3. Step 3: Cross multiply
    164,893.12x = 247,311.73 × 46,536.73
  4. Step 4: Simplify right side
    164,893.12x = 11,509,079,204.84
  5. Step 5: Solve for x
    x = 11,509,079,204.84/164,893.12
  6. Step 6: Final answer
    x = 69,797.21

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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.