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Finding the Fourth Proportional to 164,872.96, 227,504 and 97,792

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Solution

The fourth proportional to 164,872.96, 227,504 and 97,792 is: 134,940.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,872.96 : 227,504 = 97,792 : x
  2. Step 2: Convert to fraction form
    164,872.96/227,504 = 97,792/x
  3. Step 3: Cross multiply
    164,872.96x = 227,504 × 97,792
  4. Step 4: Simplify right side
    164,872.96x = 22,248,071,168
  5. Step 5: Solve for x
    x = 22,248,071,168/164,872.96
  6. Step 6: Final answer
    x = 134,940.69

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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.