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Finding the Fourth Proportional to 237,624.88, 327,922.24 and 142,154

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Solution

The fourth proportional to 237,624.88, 327,922.24 and 142,154 is: 196,172.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,624.88 : 327,922.24 = 142,154 : x
  2. Step 2: Convert to fraction form
    237,624.88/327,922.24 = 142,154/x
  3. Step 3: Cross multiply
    237,624.88x = 327,922.24 × 142,154
  4. Step 4: Simplify right side
    237,624.88x = 46,615,458,104.96
  5. Step 5: Solve for x
    x = 46,615,458,104.96/237,624.88
  6. Step 6: Final answer
    x = 196,172.46

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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.