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Finding the Fourth Proportional to 271,922.86, 407,892.33 and 129,783.11

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Solution

The fourth proportional to 271,922.86, 407,892.33 and 129,783.11 is: 194,678.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,922.86 : 407,892.33 = 129,783.11 : x
  2. Step 2: Convert to fraction form
    271,922.86/407,892.33 = 129,783.11/x
  3. Step 3: Cross multiply
    271,922.86x = 407,892.33 × 129,783.11
  4. Step 4: Simplify right side
    271,922.86x = 52,937,535,132.55
  5. Step 5: Solve for x
    x = 52,937,535,132.55/271,922.86
  6. Step 6: Final answer
    x = 194,678.50

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Why These Related Problems?

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