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Finding the Fourth Proportional to 136,539.54, 204,902.19 and 83,788.02

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Solution

The fourth proportional to 136,539.54, 204,902.19 and 83,788.02 is: 125,739.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,539.54 : 204,902.19 = 83,788.02 : x
  2. Step 2: Convert to fraction form
    136,539.54/204,902.19 = 83,788.02/x
  3. Step 3: Cross multiply
    136,539.54x = 204,902.19 × 83,788.02
  4. Step 4: Simplify right side
    136,539.54x = 17,168,348,793.76
  5. Step 5: Solve for x
    x = 17,168,348,793.76/136,539.54
  6. Step 6: Final answer
    x = 125,739.03

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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.