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Finding the Fourth Proportional to 357,333.82, 493,121.65 and 196,199.31

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Solution

The fourth proportional to 357,333.82, 493,121.65 and 196,199.31 is: 270,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,333.82 : 493,121.65 = 196,199.31 : x
  2. Step 2: Convert to fraction form
    357,333.82/493,121.65 = 196,199.31/x
  3. Step 3: Cross multiply
    357,333.82x = 493,121.65 × 196,199.31
  4. Step 4: Simplify right side
    357,333.82x = 96,750,127,476.06
  5. Step 5: Solve for x
    x = 96,750,127,476.06/357,333.82
  6. Step 6: Final answer
    x = 270,755.59

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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.