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Finding the Fourth Proportional to 107,162.84, 147,884.50 and 59,414.96

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Solution

The fourth proportional to 107,162.84, 147,884.50 and 59,414.96 is: 81,992.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,162.84 : 147,884.50 = 59,414.96 : x
  2. Step 2: Convert to fraction form
    107,162.84/147,884.50 = 59,414.96/x
  3. Step 3: Cross multiply
    107,162.84x = 147,884.50 × 59,414.96
  4. Step 4: Simplify right side
    107,162.84x = 8,786,551,652.12
  5. Step 5: Solve for x
    x = 8,786,551,652.12/107,162.84
  6. Step 6: Final answer
    x = 81,992.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.