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Finding the Fourth Proportional to 182,109.60, 273,164.40 and 164,394.90

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Solution

The fourth proportional to 182,109.60, 273,164.40 and 164,394.90 is: 246,592.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,109.60 : 273,164.40 = 164,394.90 : x
  2. Step 2: Convert to fraction form
    182,109.60/273,164.40 = 164,394.90/x
  3. Step 3: Cross multiply
    182,109.60x = 273,164.40 × 164,394.90
  4. Step 4: Simplify right side
    182,109.60x = 44,906,834,221.56
  5. Step 5: Solve for x
    x = 44,906,834,221.56/182,109.60
  6. Step 6: Final answer
    x = 246,592.35

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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.