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Finding the Fourth Proportional to 329,203.98, 493,703.91 and 118,814.58

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Solution

The fourth proportional to 329,203.98, 493,703.91 and 118,814.58 is: 178,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,203.98 : 493,703.91 = 118,814.58 : x
  2. Step 2: Convert to fraction form
    329,203.98/493,703.91 = 118,814.58/x
  3. Step 3: Cross multiply
    329,203.98x = 493,703.91 × 118,814.58
  4. Step 4: Simplify right side
    329,203.98x = 58,659,222,711.01
  5. Step 5: Solve for x
    x = 58,659,222,711.01/329,203.98
  6. Step 6: Final answer
    x = 178,185.04

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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.