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Finding the Fourth Proportional to 164,906.87, 227,577.06 and 96,922.87

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Solution

The fourth proportional to 164,906.87, 227,577.06 and 96,922.87 is: 133,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,906.87 : 227,577.06 = 96,922.87 : x
  2. Step 2: Convert to fraction form
    164,906.87/227,577.06 = 96,922.87/x
  3. Step 3: Cross multiply
    164,906.87x = 227,577.06 × 96,922.87
  4. Step 4: Simplify right side
    164,906.87x = 22,057,421,232.42
  5. Step 5: Solve for x
    x = 22,057,421,232.42/164,906.87
  6. Step 6: Final answer
    x = 133,756.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.