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Finding the Fourth Proportional to 214,294.82, 295,734.04 and 118,795.82

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Solution

The fourth proportional to 214,294.82, 295,734.04 and 118,795.82 is: 163,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,294.82 : 295,734.04 = 118,795.82 : x
  2. Step 2: Convert to fraction form
    214,294.82/295,734.04 = 118,795.82/x
  3. Step 3: Cross multiply
    214,294.82x = 295,734.04 × 118,795.82
  4. Step 4: Simplify right side
    214,294.82x = 35,131,966,008.05
  5. Step 5: Solve for x
    x = 35,131,966,008.05/214,294.82
  6. Step 6: Final answer
    x = 163,942.21

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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.