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Finding the Fourth Proportional to 311,500.89, 429,871.32 and 168,261.03

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Solution

The fourth proportional to 311,500.89, 429,871.32 and 168,261.03 is: 232,200.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,500.89 : 429,871.32 = 168,261.03 : x
  2. Step 2: Convert to fraction form
    311,500.89/429,871.32 = 168,261.03/x
  3. Step 3: Cross multiply
    311,500.89x = 429,871.32 × 168,261.03
  4. Step 4: Simplify right side
    311,500.89x = 72,330,591,070.66
  5. Step 5: Solve for x
    x = 72,330,591,070.66/311,500.89
  6. Step 6: Final answer
    x = 232,200.27

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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.