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Finding the Fourth Proportional to 164,497.80, 246,755.52 and 52,186.56

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Solution

The fourth proportional to 164,497.80, 246,755.52 and 52,186.56 is: 78,282.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,497.80 : 246,755.52 = 52,186.56 : x
  2. Step 2: Convert to fraction form
    164,497.80/246,755.52 = 52,186.56/x
  3. Step 3: Cross multiply
    164,497.80x = 246,755.52 × 52,186.56
  4. Step 4: Simplify right side
    164,497.80x = 12,877,321,749.81
  5. Step 5: Solve for x
    x = 12,877,321,749.81/164,497.80
  6. Step 6: Final answer
    x = 78,282.64

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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.