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Finding the Fourth Proportional to 197,217.32, 271,586.58 and 171,365

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Solution

The fourth proportional to 197,217.32, 271,586.58 and 171,365 is: 235,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,217.32 : 271,586.58 = 171,365 : x
  2. Step 2: Convert to fraction form
    197,217.32/271,586.58 = 171,365/x
  3. Step 3: Cross multiply
    197,217.32x = 271,586.58 × 171,365
  4. Step 4: Simplify right side
    197,217.32x = 46,540,434,281.70
  5. Step 5: Solve for x
    x = 46,540,434,281.70/197,217.32
  6. Step 6: Final answer
    x = 235,985.53

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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.