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Finding the Fourth Proportional to 222,815, 334,266.24 and 98,156

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Solution

The fourth proportional to 222,815, 334,266.24 and 98,156 is: 147,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,815 : 334,266.24 = 98,156 : x
  2. Step 2: Convert to fraction form
    222,815/334,266.24 = 98,156/x
  3. Step 3: Cross multiply
    222,815x = 334,266.24 × 98,156
  4. Step 4: Simplify right side
    222,815x = 32,810,237,053.44
  5. Step 5: Solve for x
    x = 32,810,237,053.44/222,815
  6. Step 6: Final answer
    x = 147,253.27

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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.