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Finding the Fourth Proportional to 164,706.75, 227,295.32 and 89,255.25

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Solution

The fourth proportional to 164,706.75, 227,295.32 and 89,255.25 is: 123,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,706.75 : 227,295.32 = 89,255.25 : x
  2. Step 2: Convert to fraction form
    164,706.75/227,295.32 = 89,255.25/x
  3. Step 3: Cross multiply
    164,706.75x = 227,295.32 × 89,255.25
  4. Step 4: Simplify right side
    164,706.75x = 20,287,300,164.15
  5. Step 5: Solve for x
    x = 20,287,300,164.15/164,706.75
  6. Step 6: Final answer
    x = 123,172.25

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1.5x scale

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.