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Finding the Fourth Proportional to 297,193.50, 410,134.26 and 163,057.50

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Solution

The fourth proportional to 297,193.50, 410,134.26 and 163,057.50 is: 225,023.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,193.50 : 410,134.26 = 163,057.50 : x
  2. Step 2: Convert to fraction form
    297,193.50/410,134.26 = 163,057.50/x
  3. Step 3: Cross multiply
    297,193.50x = 410,134.26 × 163,057.50
  4. Step 4: Simplify right side
    297,193.50x = 66,875,467,099.95
  5. Step 5: Solve for x
    x = 66,875,467,099.95/297,193.50
  6. Step 6: Final answer
    x = 225,023.32

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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.