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Finding the Fourth Proportional to 223,212.76, 334,812.12 and 54,733.60

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Solution

The fourth proportional to 223,212.76, 334,812.12 and 54,733.60 is: 82,098.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,212.76 : 334,812.12 = 54,733.60 : x
  2. Step 2: Convert to fraction form
    223,212.76/334,812.12 = 54,733.60/x
  3. Step 3: Cross multiply
    223,212.76x = 334,812.12 × 54,733.60
  4. Step 4: Simplify right side
    223,212.76x = 18,325,472,651.23
  5. Step 5: Solve for x
    x = 18,325,472,651.23/223,212.76
  6. Step 6: Final answer
    x = 82,098.68

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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.