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Finding the Fourth Proportional to 154,846, 232,292.10 and 54,997.82

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Solution

The fourth proportional to 154,846, 232,292.10 and 54,997.82 is: 82,504.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,846 : 232,292.10 = 54,997.82 : x
  2. Step 2: Convert to fraction form
    154,846/232,292.10 = 54,997.82/x
  3. Step 3: Cross multiply
    154,846x = 232,292.10 × 54,997.82
  4. Step 4: Simplify right side
    154,846x = 12,775,559,103.22
  5. Step 5: Solve for x
    x = 12,775,559,103.22/154,846
  6. Step 6: Final answer
    x = 82,504.93

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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.