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Finding the Fourth Proportional to 194,363.32, 291,544.98 and 111,199

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Solution

The fourth proportional to 194,363.32, 291,544.98 and 111,199 is: 166,798.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,363.32 : 291,544.98 = 111,199 : x
  2. Step 2: Convert to fraction form
    194,363.32/291,544.98 = 111,199/x
  3. Step 3: Cross multiply
    194,363.32x = 291,544.98 × 111,199
  4. Step 4: Simplify right side
    194,363.32x = 32,419,510,231.02
  5. Step 5: Solve for x
    x = 32,419,510,231.02/194,363.32
  6. Step 6: Final answer
    x = 166,798.50

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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.