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Finding the Fourth Proportional to 171,201.84, 256,592.44 and 96,164.26

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Solution

The fourth proportional to 171,201.84, 256,592.44 and 96,164.26 is: 144,128.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,201.84 : 256,592.44 = 96,164.26 : x
  2. Step 2: Convert to fraction form
    171,201.84/256,592.44 = 96,164.26/x
  3. Step 3: Cross multiply
    171,201.84x = 256,592.44 × 96,164.26
  4. Step 4: Simplify right side
    171,201.84x = 24,675,022,114.19
  5. Step 5: Solve for x
    x = 24,675,022,114.19/171,201.84
  6. Step 6: Final answer
    x = 144,128.25

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1.5x scale

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.