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Finding the Fourth Proportional to 143,462, 215,227.56 and 44,966

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Solution

The fourth proportional to 143,462, 215,227.56 and 44,966 is: 67,459.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,462 : 215,227.56 = 44,966 : x
  2. Step 2: Convert to fraction form
    143,462/215,227.56 = 44,966/x
  3. Step 3: Cross multiply
    143,462x = 215,227.56 × 44,966
  4. Step 4: Simplify right side
    143,462x = 9,677,922,462.96
  5. Step 5: Solve for x
    x = 9,677,922,462.96/143,462
  6. Step 6: Final answer
    x = 67,459.83

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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.