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Finding the Fourth Proportional to 172,442.84, 237,968.82 and 96,991.34

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Solution

The fourth proportional to 172,442.84, 237,968.82 and 96,991.34 is: 133,846.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,442.84 : 237,968.82 = 96,991.34 : x
  2. Step 2: Convert to fraction form
    172,442.84/237,968.82 = 96,991.34/x
  3. Step 3: Cross multiply
    172,442.84x = 237,968.82 × 96,991.34
  4. Step 4: Simplify right side
    172,442.84x = 23,080,914,730.02
  5. Step 5: Solve for x
    x = 23,080,914,730.02/172,442.84
  6. Step 6: Final answer
    x = 133,846.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.