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Finding the Fourth Proportional to 188,932.84, 283,473.11 and 70,576.54

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Solution

The fourth proportional to 188,932.84, 283,473.11 and 70,576.54 is: 105,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,932.84 : 283,473.11 = 70,576.54 : x
  2. Step 2: Convert to fraction form
    188,932.84/283,473.11 = 70,576.54/x
  3. Step 3: Cross multiply
    188,932.84x = 283,473.11 × 70,576.54
  4. Step 4: Simplify right side
    188,932.84x = 20,006,550,754.60
  5. Step 5: Solve for x
    x = 20,006,550,754.60/188,932.84
  6. Step 6: Final answer
    x = 105,892.40

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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.