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Finding the Fourth Proportional to 118,259.20, 177,593.60 and 83,443.20

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Solution

The fourth proportional to 118,259.20, 177,593.60 and 83,443.20 is: 125,309.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,259.20 : 177,593.60 = 83,443.20 : x
  2. Step 2: Convert to fraction form
    118,259.20/177,593.60 = 83,443.20/x
  3. Step 3: Cross multiply
    118,259.20x = 177,593.60 × 83,443.20
  4. Step 4: Simplify right side
    118,259.20x = 14,818,978,283.52
  5. Step 5: Solve for x
    x = 14,818,978,283.52/118,259.20
  6. Step 6: Final answer
    x = 125,309.31

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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.