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Finding the Fourth Proportional to 242,647.44, 364,230.36 and 137,671.44

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Solution

The fourth proportional to 242,647.44, 364,230.36 and 137,671.44 is: 206,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,647.44 : 364,230.36 = 137,671.44 : x
  2. Step 2: Convert to fraction form
    242,647.44/364,230.36 = 137,671.44/x
  3. Step 3: Cross multiply
    242,647.44x = 364,230.36 × 137,671.44
  4. Step 4: Simplify right side
    242,647.44x = 50,144,118,152.92
  5. Step 5: Solve for x
    x = 50,144,118,152.92/242,647.44
  6. Step 6: Final answer
    x = 206,654.22

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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.