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Finding the Fourth Proportional to 163,674, 225,870.36 and 96,606

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Solution

The fourth proportional to 163,674, 225,870.36 and 96,606 is: 133,316.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,674 : 225,870.36 = 96,606 : x
  2. Step 2: Convert to fraction form
    163,674/225,870.36 = 96,606/x
  3. Step 3: Cross multiply
    163,674x = 225,870.36 × 96,606
  4. Step 4: Simplify right side
    163,674x = 21,820,431,998.16
  5. Step 5: Solve for x
    x = 21,820,431,998.16/163,674
  6. Step 6: Final answer
    x = 133,316.42

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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.