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Finding the Fourth Proportional to 154,032, 231,048 and 55,536

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Solution

The fourth proportional to 154,032, 231,048 and 55,536 is: 83,304

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,032 : 231,048 = 55,536 : x
  2. Step 2: Convert to fraction form
    154,032/231,048 = 55,536/x
  3. Step 3: Cross multiply
    154,032x = 231,048 × 55,536
  4. Step 4: Simplify right side
    154,032x = 12,831,481,728
  5. Step 5: Solve for x
    x = 12,831,481,728/154,032
  6. Step 6: Final answer
    x = 83,304

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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.