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Finding the Fourth Proportional to 253,776.80, 380,634.80 and 66,803.04

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Solution

The fourth proportional to 253,776.80, 380,634.80 and 66,803.04 is: 100,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,776.80 : 380,634.80 = 66,803.04 : x
  2. Step 2: Convert to fraction form
    253,776.80/380,634.80 = 66,803.04/x
  3. Step 3: Cross multiply
    253,776.80x = 380,634.80 × 66,803.04
  4. Step 4: Simplify right side
    253,776.80x = 25,427,561,769.79
  5. Step 5: Solve for x
    x = 25,427,561,769.79/253,776.80
  6. Step 6: Final answer
    x = 100,196.56

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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.