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Finding the Fourth Proportional to 192,874.60, 289,311.90 and 146,218.60

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Solution

The fourth proportional to 192,874.60, 289,311.90 and 146,218.60 is: 219,327.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,874.60 : 289,311.90 = 146,218.60 : x
  2. Step 2: Convert to fraction form
    192,874.60/289,311.90 = 146,218.60/x
  3. Step 3: Cross multiply
    192,874.60x = 289,311.90 × 146,218.60
  4. Step 4: Simplify right side
    192,874.60x = 42,302,780,981.34
  5. Step 5: Solve for x
    x = 42,302,780,981.34/192,874.60
  6. Step 6: Final answer
    x = 219,327.90

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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.