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Finding the Fourth Proportional to 165,165.56, 227,927.22 and 89,714.60

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Solution

The fourth proportional to 165,165.56, 227,927.22 and 89,714.60 is: 123,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,165.56 : 227,927.22 = 89,714.60 : x
  2. Step 2: Convert to fraction form
    165,165.56/227,927.22 = 89,714.60/x
  3. Step 3: Cross multiply
    165,165.56x = 227,927.22 × 89,714.60
  4. Step 4: Simplify right side
    165,165.56x = 20,448,399,371.41
  5. Step 5: Solve for x
    x = 20,448,399,371.41/165,165.56
  6. Step 6: Final answer
    x = 123,805.47

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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.