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Finding the Fourth Proportional to 114,469.44, 157,812.40 and 96,533

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Solution

The fourth proportional to 114,469.44, 157,812.40 and 96,533 is: 133,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,469.44 : 157,812.40 = 96,533 : x
  2. Step 2: Convert to fraction form
    114,469.44/157,812.40 = 96,533/x
  3. Step 3: Cross multiply
    114,469.44x = 157,812.40 × 96,533
  4. Step 4: Simplify right side
    114,469.44x = 15,234,104,409.20
  5. Step 5: Solve for x
    x = 15,234,104,409.20/114,469.44
  6. Step 6: Final answer
    x = 133,084.47

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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.