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Finding the Fourth Proportional to 214,209.56, 295,604.70 and 118,715.42

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Solution

The fourth proportional to 214,209.56, 295,604.70 and 118,715.42 is: 163,824.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,209.56 : 295,604.70 = 118,715.42 : x
  2. Step 2: Convert to fraction form
    214,209.56/295,604.70 = 118,715.42/x
  3. Step 3: Cross multiply
    214,209.56x = 295,604.70 × 118,715.42
  4. Step 4: Simplify right side
    214,209.56x = 35,092,836,114.47
  5. Step 5: Solve for x
    x = 35,092,836,114.47/214,209.56
  6. Step 6: Final answer
    x = 163,824.79

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