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Finding the Fourth Proportional to 275,188.96, 412,783.92 and 75,512.08

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Solution

The fourth proportional to 275,188.96, 412,783.92 and 75,512.08 is: 113,268.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,188.96 : 412,783.92 = 75,512.08 : x
  2. Step 2: Convert to fraction form
    275,188.96/412,783.92 = 75,512.08/x
  3. Step 3: Cross multiply
    275,188.96x = 412,783.92 × 75,512.08
  4. Step 4: Simplify right side
    275,188.96x = 31,170,172,389.75
  5. Step 5: Solve for x
    x = 31,170,172,389.75/275,188.96
  6. Step 6: Final answer
    x = 113,268.25

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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.