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Finding the Fourth Proportional to 154,266.25, 231,434 and 54,427.27

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Solution

The fourth proportional to 154,266.25, 231,434 and 54,427.27 is: 81,653.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,266.25 : 231,434 = 54,427.27 : x
  2. Step 2: Convert to fraction form
    154,266.25/231,434 = 54,427.27/x
  3. Step 3: Cross multiply
    154,266.25x = 231,434 × 54,427.27
  4. Step 4: Simplify right side
    154,266.25x = 12,596,320,805.18
  5. Step 5: Solve for x
    x = 12,596,320,805.18/154,266.25
  6. Step 6: Final answer
    x = 81,653.12

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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.