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Finding the Fourth Proportional to 182,102.60, 273,153.90 and 164,387.90

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Solution

The fourth proportional to 182,102.60, 273,153.90 and 164,387.90 is: 246,581.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,102.60 : 273,153.90 = 164,387.90 : x
  2. Step 2: Convert to fraction form
    182,102.60/273,153.90 = 164,387.90/x
  3. Step 3: Cross multiply
    182,102.60x = 273,153.90 × 164,387.90
  4. Step 4: Simplify right side
    182,102.60x = 44,903,195,997.81
  5. Step 5: Solve for x
    x = 44,903,195,997.81/182,102.60
  6. Step 6: Final answer
    x = 246,581.85

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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.