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Finding the Fourth Proportional to 216,466.92, 324,705.94 and 102,588

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Solution

The fourth proportional to 216,466.92, 324,705.94 and 102,588 is: 153,884.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466.92 : 324,705.94 = 102,588 : x
  2. Step 2: Convert to fraction form
    216,466.92/324,705.94 = 102,588/x
  3. Step 3: Cross multiply
    216,466.92x = 324,705.94 × 102,588
  4. Step 4: Simplify right side
    216,466.92x = 33,310,932,972.72
  5. Step 5: Solve for x
    x = 33,310,932,972.72/216,466.92
  6. Step 6: Final answer
    x = 153,884.63

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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.