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Finding the Fourth Proportional to 128,513.20, 177,223.80 and 100,208.56

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Solution

The fourth proportional to 128,513.20, 177,223.80 and 100,208.56 is: 138,190.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,513.20 : 177,223.80 = 100,208.56 : x
  2. Step 2: Convert to fraction form
    128,513.20/177,223.80 = 100,208.56/x
  3. Step 3: Cross multiply
    128,513.20x = 177,223.80 × 100,208.56
  4. Step 4: Simplify right side
    128,513.20x = 17,759,341,795.73
  5. Step 5: Solve for x
    x = 17,759,341,795.73/128,513.20
  6. Step 6: Final answer
    x = 138,190.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.