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Finding the Fourth Proportional to 252,840.80, 379,282.92 and 65,852

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Solution

The fourth proportional to 252,840.80, 379,282.92 and 65,852 is: 98,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,840.80 : 379,282.92 = 65,852 : x
  2. Step 2: Convert to fraction form
    252,840.80/379,282.92 = 65,852/x
  3. Step 3: Cross multiply
    252,840.80x = 379,282.92 × 65,852
  4. Step 4: Simplify right side
    252,840.80x = 24,976,538,847.84
  5. Step 5: Solve for x
    x = 24,976,538,847.84/252,840.80
  6. Step 6: Final answer
    x = 98,783.66

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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.