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Finding the Fourth Proportional to 189,254.31, 283,882.53 and 56,135.57

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Solution

The fourth proportional to 189,254.31, 283,882.53 and 56,135.57 is: 84,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,254.31 : 283,882.53 = 56,135.57 : x
  2. Step 2: Convert to fraction form
    189,254.31/283,882.53 = 56,135.57/x
  3. Step 3: Cross multiply
    189,254.31x = 283,882.53 × 56,135.57
  4. Step 4: Simplify right side
    189,254.31x = 15,935,906,215.18
  5. Step 5: Solve for x
    x = 15,935,906,215.18/189,254.31
  6. Step 6: Final answer
    x = 84,203.66

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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.