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Finding the Fourth Proportional to 135,901.80, 204,071.40 and 102,659.40

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Solution

The fourth proportional to 135,901.80, 204,071.40 and 102,659.40 is: 154,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,901.80 : 204,071.40 = 102,659.40 : x
  2. Step 2: Convert to fraction form
    135,901.80/204,071.40 = 102,659.40/x
  3. Step 3: Cross multiply
    135,901.80x = 204,071.40 × 102,659.40
  4. Step 4: Simplify right side
    135,901.80x = 20,949,847,481.16
  5. Step 5: Solve for x
    x = 20,949,847,481.16/135,901.80
  6. Step 6: Final answer
    x = 154,154.30

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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.