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Finding the Fourth Proportional to 216,289, 324,433.50 and 68,545

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Solution

The fourth proportional to 216,289, 324,433.50 and 68,545 is: 102,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,289 : 324,433.50 = 68,545 : x
  2. Step 2: Convert to fraction form
    216,289/324,433.50 = 68,545/x
  3. Step 3: Cross multiply
    216,289x = 324,433.50 × 68,545
  4. Step 4: Simplify right side
    216,289x = 22,238,294,257.50
  5. Step 5: Solve for x
    x = 22,238,294,257.50/216,289
  6. Step 6: Final answer
    x = 102,817.50

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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.