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Finding the Fourth Proportional to 183,967.96, 275,721.10 and 78,663.32

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Solution

The fourth proportional to 183,967.96, 275,721.10 and 78,663.32 is: 117,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,967.96 : 275,721.10 = 78,663.32 : x
  2. Step 2: Convert to fraction form
    183,967.96/275,721.10 = 78,663.32/x
  3. Step 3: Cross multiply
    183,967.96x = 275,721.10 × 78,663.32
  4. Step 4: Simplify right side
    183,967.96x = 21,689,137,120.05
  5. Step 5: Solve for x
    x = 21,689,137,120.05/183,967.96
  6. Step 6: Final answer
    x = 117,896.27

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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.