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Finding the Fourth Proportional to 235,400.75, 324,748.13 and 156,840.06

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Solution

The fourth proportional to 235,400.75, 324,748.13 and 156,840.06 is: 216,369.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,400.75 : 324,748.13 = 156,840.06 : x
  2. Step 2: Convert to fraction form
    235,400.75/324,748.13 = 156,840.06/x
  3. Step 3: Cross multiply
    235,400.75x = 324,748.13 × 156,840.06
  4. Step 4: Simplify right side
    235,400.75x = 50,933,515,409.89
  5. Step 5: Solve for x
    x = 50,933,515,409.89/235,400.75
  6. Step 6: Final answer
    x = 216,369.39

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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.