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Finding the Fourth Proportional to 189,359.88, 283,990.68 and 56,208.84

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Solution

The fourth proportional to 189,359.88, 283,990.68 and 56,208.84 is: 84,298.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,359.88 : 283,990.68 = 56,208.84 : x
  2. Step 2: Convert to fraction form
    189,359.88/283,990.68 = 56,208.84/x
  3. Step 3: Cross multiply
    189,359.88x = 283,990.68 × 56,208.84
  4. Step 4: Simplify right side
    189,359.88x = 15,962,786,693.61
  5. Step 5: Solve for x
    x = 15,962,786,693.61/189,359.88
  6. Step 6: Final answer
    x = 84,298.67

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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.