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Finding the Fourth Proportional to 164,515.77, 246,782.43 and 52,204.77

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Solution

The fourth proportional to 164,515.77, 246,782.43 and 52,204.77 is: 78,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,515.77 : 246,782.43 = 52,204.77 : x
  2. Step 2: Convert to fraction form
    164,515.77/246,782.43 = 52,204.77/x
  3. Step 3: Cross multiply
    164,515.77x = 246,782.43 × 52,204.77
  4. Step 4: Simplify right side
    164,515.77x = 12,883,219,998.19
  5. Step 5: Solve for x
    x = 12,883,219,998.19/164,515.77
  6. Step 6: Final answer
    x = 78,309.94

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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.