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Finding the Fourth Proportional to 194,546.64, 291,822.88 and 54,306

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Solution

The fourth proportional to 194,546.64, 291,822.88 and 54,306 is: 81,459.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,546.64 : 291,822.88 = 54,306 : x
  2. Step 2: Convert to fraction form
    194,546.64/291,822.88 = 54,306/x
  3. Step 3: Cross multiply
    194,546.64x = 291,822.88 × 54,306
  4. Step 4: Simplify right side
    194,546.64x = 15,847,733,321.28
  5. Step 5: Solve for x
    x = 15,847,733,321.28/194,546.64
  6. Step 6: Final answer
    x = 81,459.82

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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.