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Finding the Fourth Proportional to 223,221.76, 334,825.60 and 54,742.60

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Solution

The fourth proportional to 223,221.76, 334,825.60 and 54,742.60 is: 82,112.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,221.76 : 334,825.60 = 54,742.60 : x
  2. Step 2: Convert to fraction form
    223,221.76/334,825.60 = 54,742.60/x
  3. Step 3: Cross multiply
    223,221.76x = 334,825.60 × 54,742.60
  4. Step 4: Simplify right side
    223,221.76x = 18,329,223,890.56
  5. Step 5: Solve for x
    x = 18,329,223,890.56/223,221.76
  6. Step 6: Final answer
    x = 82,112.17

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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.