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Finding the Fourth Proportional to 139,410.10, 208,884.30 and 80,142.40

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Solution

The fourth proportional to 139,410.10, 208,884.30 and 80,142.40 is: 120,080.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410.10 : 208,884.30 = 80,142.40 : x
  2. Step 2: Convert to fraction form
    139,410.10/208,884.30 = 80,142.40/x
  3. Step 3: Cross multiply
    139,410.10x = 208,884.30 × 80,142.40
  4. Step 4: Simplify right side
    139,410.10x = 16,740,489,124.32
  5. Step 5: Solve for x
    x = 16,740,489,124.32/139,410.10
  6. Step 6: Final answer
    x = 120,080.89

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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.