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Finding the Fourth Proportional to 164,419.92, 246,624.12 and 69,624

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Solution

The fourth proportional to 164,419.92, 246,624.12 and 69,624 is: 104,433.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,419.92 : 246,624.12 = 69,624 : x
  2. Step 2: Convert to fraction form
    164,419.92/246,624.12 = 69,624/x
  3. Step 3: Cross multiply
    164,419.92x = 246,624.12 × 69,624
  4. Step 4: Simplify right side
    164,419.92x = 17,170,957,730.88
  5. Step 5: Solve for x
    x = 17,170,957,730.88/164,419.92
  6. Step 6: Final answer
    x = 104,433.56

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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.