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Finding the Fourth Proportional to 189,476.39, 284,303.18 and 82,846.50

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Solution

The fourth proportional to 189,476.39, 284,303.18 and 82,846.50 is: 124,308.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,476.39 : 284,303.18 = 82,846.50 : x
  2. Step 2: Convert to fraction form
    189,476.39/284,303.18 = 82,846.50/x
  3. Step 3: Cross multiply
    189,476.39x = 284,303.18 × 82,846.50
  4. Step 4: Simplify right side
    189,476.39x = 23,553,523,698.40
  5. Step 5: Solve for x
    x = 23,553,523,698.40/189,476.39
  6. Step 6: Final answer
    x = 124,308.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.