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Finding the Fourth Proportional to 98,014.30, 135,290.19 and 77,906.86

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Solution

The fourth proportional to 98,014.30, 135,290.19 and 77,906.86 is: 107,535.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,014.30 : 135,290.19 = 77,906.86 : x
  2. Step 2: Convert to fraction form
    98,014.30/135,290.19 = 77,906.86/x
  3. Step 3: Cross multiply
    98,014.30x = 135,290.19 × 77,906.86
  4. Step 4: Simplify right side
    98,014.30x = 10,540,033,891.70
  5. Step 5: Solve for x
    x = 10,540,033,891.70/98,014.30
  6. Step 6: Final answer
    x = 107,535.67

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1.5x scale

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.