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Finding the Fourth Proportional to 253,708.58, 350,102.82 and 138,964.34

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Solution

The fourth proportional to 253,708.58, 350,102.82 and 138,964.34 is: 191,762.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,708.58 : 350,102.82 = 138,964.34 : x
  2. Step 2: Convert to fraction form
    253,708.58/350,102.82 = 138,964.34/x
  3. Step 3: Cross multiply
    253,708.58x = 350,102.82 × 138,964.34
  4. Step 4: Simplify right side
    253,708.58x = 48,651,807,313.44
  5. Step 5: Solve for x
    x = 48,651,807,313.44/253,708.58
  6. Step 6: Final answer
    x = 191,762.56

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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.