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Finding the Fourth Proportional to 163,677, 225,874.50 and 96,609

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Solution

The fourth proportional to 163,677, 225,874.50 and 96,609 is: 133,320.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,677 : 225,874.50 = 96,609 : x
  2. Step 2: Convert to fraction form
    163,677/225,874.50 = 96,609/x
  3. Step 3: Cross multiply
    163,677x = 225,874.50 × 96,609
  4. Step 4: Simplify right side
    163,677x = 21,821,509,570.50
  5. Step 5: Solve for x
    x = 21,821,509,570.50/163,677
  6. Step 6: Final answer
    x = 133,320.56

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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.