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Finding the Fourth Proportional to 114,254.50, 171,447.33 and 89,224.28

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Solution

The fourth proportional to 114,254.50, 171,447.33 and 89,224.28 is: 133,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,254.50 : 171,447.33 = 89,224.28 : x
  2. Step 2: Convert to fraction form
    114,254.50/171,447.33 = 89,224.28/x
  3. Step 3: Cross multiply
    114,254.50x = 171,447.33 × 89,224.28
  4. Step 4: Simplify right side
    114,254.50x = 15,297,265,661.85
  5. Step 5: Solve for x
    x = 15,297,265,661.85/114,254.50
  6. Step 6: Final answer
    x = 133,887.64

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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.