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Finding the Fourth Proportional to 209,518.70, 313,932.45 and 178,414.70

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Solution

The fourth proportional to 209,518.70, 313,932.45 and 178,414.70 is: 267,327.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,518.70 : 313,932.45 = 178,414.70 : x
  2. Step 2: Convert to fraction form
    209,518.70/313,932.45 = 178,414.70/x
  3. Step 3: Cross multiply
    209,518.70x = 313,932.45 × 178,414.70
  4. Step 4: Simplify right side
    209,518.70x = 56,010,163,887.02
  5. Step 5: Solve for x
    x = 56,010,163,887.02/209,518.70
  6. Step 6: Final answer
    x = 267,327.76

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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.