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Finding the Fourth Proportional to 146,832, 202,628.16 and 79,764

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Solution

The fourth proportional to 146,832, 202,628.16 and 79,764 is: 110,074.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,832 : 202,628.16 = 79,764 : x
  2. Step 2: Convert to fraction form
    146,832/202,628.16 = 79,764/x
  3. Step 3: Cross multiply
    146,832x = 202,628.16 × 79,764
  4. Step 4: Simplify right side
    146,832x = 16,162,432,554.24
  5. Step 5: Solve for x
    x = 16,162,432,554.24/146,832
  6. Step 6: Final answer
    x = 110,074.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.