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Finding the Fourth Proportional to 154,728, 232,095.25 and 49,546.66

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Solution

The fourth proportional to 154,728, 232,095.25 and 49,546.66 is: 74,321.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,728 : 232,095.25 = 49,546.66 : x
  2. Step 2: Convert to fraction form
    154,728/232,095.25 = 49,546.66/x
  3. Step 3: Cross multiply
    154,728x = 232,095.25 × 49,546.66
  4. Step 4: Simplify right side
    154,728x = 11,499,544,439.37
  5. Step 5: Solve for x
    x = 11,499,544,439.37/154,728
  6. Step 6: Final answer
    x = 74,321.03

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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.