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Finding the Fourth Proportional to 308,602.44, 463,078.44 and 121,745.16

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Solution

The fourth proportional to 308,602.44, 463,078.44 and 121,745.16 is: 182,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,602.44 : 463,078.44 = 121,745.16 : x
  2. Step 2: Convert to fraction form
    308,602.44/463,078.44 = 121,745.16/x
  3. Step 3: Cross multiply
    308,602.44x = 463,078.44 × 121,745.16
  4. Step 4: Simplify right side
    308,602.44x = 56,377,558,770.35
  5. Step 5: Solve for x
    x = 56,377,558,770.35/308,602.44
  6. Step 6: Final answer
    x = 182,686.69

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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.