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Finding the Fourth Proportional to 281,683.83, 422,594.86 and 82,006.01

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Solution

The fourth proportional to 281,683.83, 422,594.86 and 82,006.01 is: 123,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,683.83 : 422,594.86 = 82,006.01 : x
  2. Step 2: Convert to fraction form
    281,683.83/422,594.86 = 82,006.01/x
  3. Step 3: Cross multiply
    281,683.83x = 422,594.86 × 82,006.01
  4. Step 4: Simplify right side
    281,683.83x = 34,655,318,315.11
  5. Step 5: Solve for x
    x = 34,655,318,315.11/281,683.83
  6. Step 6: Final answer
    x = 123,029.14

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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.