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Finding the Fourth Proportional to 180,468.87, 270,609.87 and 96,206.40

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Solution

The fourth proportional to 180,468.87, 270,609.87 and 96,206.40 is: 144,259.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,468.87 : 270,609.87 = 96,206.40 : x
  2. Step 2: Convert to fraction form
    180,468.87/270,609.87 = 96,206.40/x
  3. Step 3: Cross multiply
    180,468.87x = 270,609.87 × 96,206.40
  4. Step 4: Simplify right side
    180,468.87x = 26,034,401,855.24
  5. Step 5: Solve for x
    x = 26,034,401,855.24/180,468.87
  6. Step 6: Final answer
    x = 144,259.79

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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.