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Finding the Fourth Proportional to 242,671.12, 364,007.22 and 109,396.44

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Solution

The fourth proportional to 242,671.12, 364,007.22 and 109,396.44 is: 164,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,671.12 : 364,007.22 = 109,396.44 : x
  2. Step 2: Convert to fraction form
    242,671.12/364,007.22 = 109,396.44/x
  3. Step 3: Cross multiply
    242,671.12x = 364,007.22 × 109,396.44
  4. Step 4: Simplify right side
    242,671.12x = 39,821,094,002.30
  5. Step 5: Solve for x
    x = 39,821,094,002.30/242,671.12
  6. Step 6: Final answer
    x = 164,094.90

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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.