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Finding the Fourth Proportional to 165,113.78, 227,858.28 and 89,662.28

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Solution

The fourth proportional to 165,113.78, 227,858.28 and 89,662.28 is: 123,734.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,113.78 : 227,858.28 = 89,662.28 : x
  2. Step 2: Convert to fraction form
    165,113.78/227,858.28 = 89,662.28/x
  3. Step 3: Cross multiply
    165,113.78x = 227,858.28 × 89,662.28
  4. Step 4: Simplify right side
    165,113.78x = 20,430,292,901.68
  5. Step 5: Solve for x
    x = 20,430,292,901.68/165,113.78
  6. Step 6: Final answer
    x = 123,734.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.