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Finding the Fourth Proportional to 189,224.71, 283,788.65 and 56,073.88

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Solution

The fourth proportional to 189,224.71, 283,788.65 and 56,073.88 is: 84,096.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,224.71 : 283,788.65 = 56,073.88 : x
  2. Step 2: Convert to fraction form
    189,224.71/283,788.65 = 56,073.88/x
  3. Step 3: Cross multiply
    189,224.71x = 283,788.65 × 56,073.88
  4. Step 4: Simplify right side
    189,224.71x = 15,913,131,520.61
  5. Step 5: Solve for x
    x = 15,913,131,520.61/189,224.71
  6. Step 6: Final answer
    x = 84,096.48

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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.