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Finding the Fourth Proportional to 282,438.52, 423,716.10 and 82,765.42

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Solution

The fourth proportional to 282,438.52, 423,716.10 and 82,765.42 is: 124,165.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,438.52 : 423,716.10 = 82,765.42 : x
  2. Step 2: Convert to fraction form
    282,438.52/423,716.10 = 82,765.42/x
  3. Step 3: Cross multiply
    282,438.52x = 423,716.10 × 82,765.42
  4. Step 4: Simplify right side
    282,438.52x = 35,069,040,977.26
  5. Step 5: Solve for x
    x = 35,069,040,977.26/282,438.52
  6. Step 6: Final answer
    x = 124,165.22

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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.