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Finding the Fourth Proportional to 164,467.58, 246,710.09 and 52,156.64

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Solution

The fourth proportional to 164,467.58, 246,710.09 and 52,156.64 is: 78,237.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,467.58 : 246,710.09 = 52,156.64 : x
  2. Step 2: Convert to fraction form
    164,467.58/246,710.09 = 52,156.64/x
  3. Step 3: Cross multiply
    164,467.58x = 246,710.09 × 52,156.64
  4. Step 4: Simplify right side
    164,467.58x = 12,867,570,095.66
  5. Step 5: Solve for x
    x = 12,867,570,095.66/164,467.58
  6. Step 6: Final answer
    x = 78,237.73

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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.