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Finding the Fourth Proportional to 194,618, 292,014.84 and 111,512

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Solution

The fourth proportional to 194,618, 292,014.84 and 111,512 is: 167,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,618 : 292,014.84 = 111,512 : x
  2. Step 2: Convert to fraction form
    194,618/292,014.84 = 111,512/x
  3. Step 3: Cross multiply
    194,618x = 292,014.84 × 111,512
  4. Step 4: Simplify right side
    194,618x = 32,563,158,838.08
  5. Step 5: Solve for x
    x = 32,563,158,838.08/194,618
  6. Step 6: Final answer
    x = 167,318.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.