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Finding the Fourth Proportional to 183,959.92, 275,709.14 and 78,655.28

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Solution

The fourth proportional to 183,959.92, 275,709.14 and 78,655.28 is: 117,884.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,959.92 : 275,709.14 = 78,655.28 : x
  2. Step 2: Convert to fraction form
    183,959.92/275,709.14 = 78,655.28/x
  3. Step 3: Cross multiply
    183,959.92x = 275,709.14 × 78,655.28
  4. Step 4: Simplify right side
    183,959.92x = 21,685,979,605.26
  5. Step 5: Solve for x
    x = 21,685,979,605.26/183,959.92
  6. Step 6: Final answer
    x = 117,884.26

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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.