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Finding the Fourth Proportional to 164,812.94, 227,478.99 and 96,851.75

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Solution

The fourth proportional to 164,812.94, 227,478.99 and 96,851.75 is: 133,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,812.94 : 227,478.99 = 96,851.75 : x
  2. Step 2: Convert to fraction form
    164,812.94/227,478.99 = 96,851.75/x
  3. Step 3: Cross multiply
    164,812.94x = 227,478.99 × 96,851.75
  4. Step 4: Simplify right side
    164,812.94x = 22,031,738,269.73
  5. Step 5: Solve for x
    x = 22,031,738,269.73/164,812.94
  6. Step 6: Final answer
    x = 133,677.24

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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.