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Finding the Fourth Proportional to 165,181.68, 227,950.80 and 89,730.24

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Solution

The fourth proportional to 165,181.68, 227,950.80 and 89,730.24 is: 123,827.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,181.68 : 227,950.80 = 89,730.24 : x
  2. Step 2: Convert to fraction form
    165,181.68/227,950.80 = 89,730.24/x
  3. Step 3: Cross multiply
    165,181.68x = 227,950.80 × 89,730.24
  4. Step 4: Simplify right side
    165,181.68x = 20,454,079,992.19
  5. Step 5: Solve for x
    x = 20,454,079,992.19/165,181.68
  6. Step 6: Final answer
    x = 123,827.78

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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.