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Finding the Fourth Proportional to 182,409.60, 273,614.40 and 164,694.90

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Solution

The fourth proportional to 182,409.60, 273,614.40 and 164,694.90 is: 247,042.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,409.60 : 273,614.40 = 164,694.90 : x
  2. Step 2: Convert to fraction form
    182,409.60/273,614.40 = 164,694.90/x
  3. Step 3: Cross multiply
    182,409.60x = 273,614.40 × 164,694.90
  4. Step 4: Simplify right side
    182,409.60x = 45,062,896,246.56
  5. Step 5: Solve for x
    x = 45,062,896,246.56/182,409.60
  6. Step 6: Final answer
    x = 247,042.35

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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.