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Finding the Fourth Proportional to 189,263.47, 283,954.43 and 56,144.43

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Solution

The fourth proportional to 189,263.47, 283,954.43 and 56,144.43 is: 84,234.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,263.47 : 283,954.43 = 56,144.43 : x
  2. Step 2: Convert to fraction form
    189,263.47/283,954.43 = 56,144.43/x
  3. Step 3: Cross multiply
    189,263.47x = 283,954.43 × 56,144.43
  4. Step 4: Simplify right side
    189,263.47x = 15,942,459,618.32
  5. Step 5: Solve for x
    x = 15,942,459,618.32/189,263.47
  6. Step 6: Final answer
    x = 84,234.21

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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.