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Finding the Fourth Proportional to 165,073.88, 227,728.86 and 97,967

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Solution

The fourth proportional to 165,073.88, 227,728.86 and 97,967 is: 135,151.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,073.88 : 227,728.86 = 97,967 : x
  2. Step 2: Convert to fraction form
    165,073.88/227,728.86 = 97,967/x
  3. Step 3: Cross multiply
    165,073.88x = 227,728.86 × 97,967
  4. Step 4: Simplify right side
    165,073.88x = 22,309,913,227.62
  5. Step 5: Solve for x
    x = 22,309,913,227.62/165,073.88
  6. Step 6: Final answer
    x = 135,151.08

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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.