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Finding the Fourth Proportional to 135,971.46, 204,086.88 and 83,483.46

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Solution

The fourth proportional to 135,971.46, 204,086.88 and 83,483.46 is: 125,304.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,971.46 : 204,086.88 = 83,483.46 : x
  2. Step 2: Convert to fraction form
    135,971.46/204,086.88 = 83,483.46/x
  3. Step 3: Cross multiply
    135,971.46x = 204,086.88 × 83,483.46
  4. Step 4: Simplify right side
    135,971.46x = 17,037,878,883.00
  5. Step 5: Solve for x
    x = 17,037,878,883.00/135,971.46
  6. Step 6: Final answer
    x = 125,304.82

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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.