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Finding the Fourth Proportional to 193,826.60, 290,852.70 and 81,498.60

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Solution

The fourth proportional to 193,826.60, 290,852.70 and 81,498.60 is: 122,295.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,826.60 : 290,852.70 = 81,498.60 : x
  2. Step 2: Convert to fraction form
    193,826.60/290,852.70 = 81,498.60/x
  3. Step 3: Cross multiply
    193,826.60x = 290,852.70 × 81,498.60
  4. Step 4: Simplify right side
    193,826.60x = 23,704,087,856.22
  5. Step 5: Solve for x
    x = 23,704,087,856.22/193,826.60
  6. Step 6: Final answer
    x = 122,295.33

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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.