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Finding the Fourth Proportional to 164,874.96, 227,506.76 and 97,794

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Solution

The fourth proportional to 164,874.96, 227,506.76 and 97,794 is: 134,943.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,874.96 : 227,506.76 = 97,794 : x
  2. Step 2: Convert to fraction form
    164,874.96/227,506.76 = 97,794/x
  3. Step 3: Cross multiply
    164,874.96x = 227,506.76 × 97,794
  4. Step 4: Simplify right side
    164,874.96x = 22,248,796,087.44
  5. Step 5: Solve for x
    x = 22,248,796,087.44/164,874.96
  6. Step 6: Final answer
    x = 134,943.45

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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.