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Finding the Fourth Proportional to 265,091.96, 397,624.96 and 98,867

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Solution

The fourth proportional to 265,091.96, 397,624.96 and 98,867 is: 148,295.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,091.96 : 397,624.96 = 98,867 : x
  2. Step 2: Convert to fraction form
    265,091.96/397,624.96 = 98,867/x
  3. Step 3: Cross multiply
    265,091.96x = 397,624.96 × 98,867
  4. Step 4: Simplify right side
    265,091.96x = 39,311,986,920.32
  5. Step 5: Solve for x
    x = 39,311,986,920.32/265,091.96
  6. Step 6: Final answer
    x = 148,295.66

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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.