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Finding the Fourth Proportional to 135,994.08, 203,695.68 and 65,726

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Solution

The fourth proportional to 135,994.08, 203,695.68 and 65,726 is: 98,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,994.08 : 203,695.68 = 65,726 : x
  2. Step 2: Convert to fraction form
    135,994.08/203,695.68 = 65,726/x
  3. Step 3: Cross multiply
    135,994.08x = 203,695.68 × 65,726
  4. Step 4: Simplify right side
    135,994.08x = 13,388,102,263.68
  5. Step 5: Solve for x
    x = 13,388,102,263.68/135,994.08
  6. Step 6: Final answer
    x = 98,446.21

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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.