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Finding the Fourth Proportional to 253,246.50, 349,491.15 and 140,069.34

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Solution

The fourth proportional to 253,246.50, 349,491.15 and 140,069.34 is: 193,301.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,246.50 : 349,491.15 = 140,069.34 : x
  2. Step 2: Convert to fraction form
    253,246.50/349,491.15 = 140,069.34/x
  3. Step 3: Cross multiply
    253,246.50x = 349,491.15 × 140,069.34
  4. Step 4: Simplify right side
    253,246.50x = 48,952,994,716.34
  5. Step 5: Solve for x
    x = 48,952,994,716.34/253,246.50
  6. Step 6: Final answer
    x = 193,301.76

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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.