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Finding the Fourth Proportional to 253,684.96, 349,682.08 and 199,886.56

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Solution

The fourth proportional to 253,684.96, 349,682.08 and 199,886.56 is: 275,525.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,684.96 : 349,682.08 = 199,886.56 : x
  2. Step 2: Convert to fraction form
    253,684.96/349,682.08 = 199,886.56/x
  3. Step 3: Cross multiply
    253,684.96x = 349,682.08 × 199,886.56
  4. Step 4: Simplify right side
    253,684.96x = 69,896,748,064.84
  5. Step 5: Solve for x
    x = 69,896,748,064.84/253,684.96
  6. Step 6: Final answer
    x = 275,525.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.