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Finding the Fourth Proportional to 164,206, 246,232.44 and 85,299.04

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Solution

The fourth proportional to 164,206, 246,232.44 and 85,299.04 is: 127,908.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,206 : 246,232.44 = 85,299.04 : x
  2. Step 2: Convert to fraction form
    164,206/246,232.44 = 85,299.04/x
  3. Step 3: Cross multiply
    164,206x = 246,232.44 × 85,299.04
  4. Step 4: Simplify right side
    164,206x = 21,003,390,748.86
  5. Step 5: Solve for x
    x = 21,003,390,748.86/164,206
  6. Step 6: Final answer
    x = 127,908.79

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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.