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Finding the Fourth Proportional to 164,407.28, 246,552.56 and 59,198

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Solution

The fourth proportional to 164,407.28, 246,552.56 and 59,198 is: 88,775.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,407.28 : 246,552.56 = 59,198 : x
  2. Step 2: Convert to fraction form
    164,407.28/246,552.56 = 59,198/x
  3. Step 3: Cross multiply
    164,407.28x = 246,552.56 × 59,198
  4. Step 4: Simplify right side
    164,407.28x = 14,595,418,446.88
  5. Step 5: Solve for x
    x = 14,595,418,446.88/164,407.28
  6. Step 6: Final answer
    x = 88,775.99

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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.