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Finding the Fourth Proportional to 196,467.84, 294,714.72 and 71,896.32

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Solution

The fourth proportional to 196,467.84, 294,714.72 and 71,896.32 is: 107,849.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,467.84 : 294,714.72 = 71,896.32 : x
  2. Step 2: Convert to fraction form
    196,467.84/294,714.72 = 71,896.32/x
  3. Step 3: Cross multiply
    196,467.84x = 294,714.72 × 71,896.32
  4. Step 4: Simplify right side
    196,467.84x = 21,188,903,817.83
  5. Step 5: Solve for x
    x = 21,188,903,817.83/196,467.84
  6. Step 6: Final answer
    x = 107,849.22

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1.5x scale

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.