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Finding the Fourth Proportional to 189,225.71, 283,790.15 and 56,074.88

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Solution

The fourth proportional to 189,225.71, 283,790.15 and 56,074.88 is: 84,097.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,225.71 : 283,790.15 = 56,074.88 : x
  2. Step 2: Convert to fraction form
    189,225.71/283,790.15 = 56,074.88/x
  3. Step 3: Cross multiply
    189,225.71x = 283,790.15 × 56,074.88
  4. Step 4: Simplify right side
    189,225.71x = 15,913,498,606.43
  5. Step 5: Solve for x
    x = 15,913,498,606.43/189,225.71
  6. Step 6: Final answer
    x = 84,097.97

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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.