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Finding the Fourth Proportional to 182,188, 273,423.12 and 126,419.68

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Solution

The fourth proportional to 182,188, 273,423.12 and 126,419.68 is: 189,727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,188 : 273,423.12 = 126,419.68 : x
  2. Step 2: Convert to fraction form
    182,188/273,423.12 = 126,419.68/x
  3. Step 3: Cross multiply
    182,188x = 273,423.12 × 126,419.68
  4. Step 4: Simplify right side
    182,188x = 34,566,063,335.00
  5. Step 5: Solve for x
    x = 34,566,063,335.00/182,188
  6. Step 6: Final answer
    x = 189,727.44

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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.