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Finding the Fourth Proportional to 271,402.30, 407,103.45 and 131,434.30

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Solution

The fourth proportional to 271,402.30, 407,103.45 and 131,434.30 is: 197,151.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,402.30 : 407,103.45 = 131,434.30 : x
  2. Step 2: Convert to fraction form
    271,402.30/407,103.45 = 131,434.30/x
  3. Step 3: Cross multiply
    271,402.30x = 407,103.45 × 131,434.30
  4. Step 4: Simplify right side
    271,402.30x = 53,507,356,978.34
  5. Step 5: Solve for x
    x = 53,507,356,978.34/271,402.30
  6. Step 6: Final answer
    x = 197,151.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.