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Finding the Fourth Proportional to 235,770.53, 353,457.44 and 102,550.46

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Solution

The fourth proportional to 235,770.53, 353,457.44 and 102,550.46 is: 153,739.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,770.53 : 353,457.44 = 102,550.46 : x
  2. Step 2: Convert to fraction form
    235,770.53/353,457.44 = 102,550.46/x
  3. Step 3: Cross multiply
    235,770.53x = 353,457.44 × 102,550.46
  4. Step 4: Simplify right side
    235,770.53x = 36,247,220,782.38
  5. Step 5: Solve for x
    x = 36,247,220,782.38/235,770.53
  6. Step 6: Final answer
    x = 153,739.41

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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.