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Finding the Fourth Proportional to 192,858.96, 289,329.74 and 98,102.32

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Solution

The fourth proportional to 192,858.96, 289,329.74 and 98,102.32 is: 147,174.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,858.96 : 289,329.74 = 98,102.32 : x
  2. Step 2: Convert to fraction form
    192,858.96/289,329.74 = 98,102.32/x
  3. Step 3: Cross multiply
    192,858.96x = 289,329.74 × 98,102.32
  4. Step 4: Simplify right side
    192,858.96x = 28,383,918,739.00
  5. Step 5: Solve for x
    x = 28,383,918,739.00/192,858.96
  6. Step 6: Final answer
    x = 147,174.49

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1.5x scale

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.