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Finding the Fourth Proportional to 118,468.36, 177,772.54 and 43,641

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Solution

The fourth proportional to 118,468.36, 177,772.54 and 43,641 is: 65,487.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,468.36 : 177,772.54 = 43,641 : x
  2. Step 2: Convert to fraction form
    118,468.36/177,772.54 = 43,641/x
  3. Step 3: Cross multiply
    118,468.36x = 177,772.54 × 43,641
  4. Step 4: Simplify right side
    118,468.36x = 7,758,171,418.14
  5. Step 5: Solve for x
    x = 7,758,171,418.14/118,468.36
  6. Step 6: Final answer
    x = 65,487.29

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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.