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Finding the Fourth Proportional to 163,914.50, 245,914 and 89,015.42

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Solution

The fourth proportional to 163,914.50, 245,914 and 89,015.42 is: 133,546.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,914.50 : 245,914 = 89,015.42 : x
  2. Step 2: Convert to fraction form
    163,914.50/245,914 = 89,015.42/x
  3. Step 3: Cross multiply
    163,914.50x = 245,914 × 89,015.42
  4. Step 4: Simplify right side
    163,914.50x = 21,890,137,993.88
  5. Step 5: Solve for x
    x = 21,890,137,993.88/163,914.50
  6. Step 6: Final answer
    x = 133,546.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.