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Finding the Fourth Proportional to 194,847.75, 268,889.90 and 105,423.75

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Solution

The fourth proportional to 194,847.75, 268,889.90 and 105,423.75 is: 145,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,847.75 : 268,889.90 = 105,423.75 : x
  2. Step 2: Convert to fraction form
    194,847.75/268,889.90 = 105,423.75/x
  3. Step 3: Cross multiply
    194,847.75x = 268,889.90 × 105,423.75
  4. Step 4: Simplify right side
    194,847.75x = 28,347,381,068.01
  5. Step 5: Solve for x
    x = 28,347,381,068.01/194,847.75
  6. Step 6: Final answer
    x = 145,484.78

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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.