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Finding the Fourth Proportional to 163,708.80, 225,783.36 and 96,576

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Solution

The fourth proportional to 163,708.80, 225,783.36 and 96,576 is: 133,195.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,708.80 : 225,783.36 = 96,576 : x
  2. Step 2: Convert to fraction form
    163,708.80/225,783.36 = 96,576/x
  3. Step 3: Cross multiply
    163,708.80x = 225,783.36 × 96,576
  4. Step 4: Simplify right side
    163,708.80x = 21,805,253,775.36
  5. Step 5: Solve for x
    x = 21,805,253,775.36/163,708.80
  6. Step 6: Final answer
    x = 133,195.37

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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.