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Finding the Fourth Proportional to 282,548.54, 423,826.10 and 82,872.90

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Solution

The fourth proportional to 282,548.54, 423,826.10 and 82,872.90 is: 124,310.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,548.54 : 423,826.10 = 82,872.90 : x
  2. Step 2: Convert to fraction form
    282,548.54/423,826.10 = 82,872.90/x
  3. Step 3: Cross multiply
    282,548.54x = 423,826.10 × 82,872.90
  4. Step 4: Simplify right side
    282,548.54x = 35,123,697,588.33
  5. Step 5: Solve for x
    x = 35,123,697,588.33/282,548.54
  6. Step 6: Final answer
    x = 124,310.32

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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.