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Finding the Fourth Proportional to 165,164.80, 247,748.66 and 65,325

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Solution

The fourth proportional to 165,164.80, 247,748.66 and 65,325 is: 97,988.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,164.80 : 247,748.66 = 65,325 : x
  2. Step 2: Convert to fraction form
    165,164.80/247,748.66 = 65,325/x
  3. Step 3: Cross multiply
    165,164.80x = 247,748.66 × 65,325
  4. Step 4: Simplify right side
    165,164.80x = 16,184,180,887.88
  5. Step 5: Solve for x
    x = 16,184,180,887.88/165,164.80
  6. Step 6: Final answer
    x = 97,988.08

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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.