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Finding the Fourth Proportional to 135,964.40, 204,076.32 and 83,476.40

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Solution

The fourth proportional to 135,964.40, 204,076.32 and 83,476.40 is: 125,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,964.40 : 204,076.32 = 83,476.40 : x
  2. Step 2: Convert to fraction form
    135,964.40/204,076.32 = 83,476.40/x
  3. Step 3: Cross multiply
    135,964.40x = 204,076.32 × 83,476.40
  4. Step 4: Simplify right side
    135,964.40x = 17,035,556,518.85
  5. Step 5: Solve for x
    x = 17,035,556,518.85/135,964.40
  6. Step 6: Final answer
    x = 125,294.24

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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.