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Finding the Fourth Proportional to 227,465.92, 313,570.68 and 159,268

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Solution

The fourth proportional to 227,465.92, 313,570.68 and 159,268 is: 219,557.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,465.92 : 313,570.68 = 159,268 : x
  2. Step 2: Convert to fraction form
    227,465.92/313,570.68 = 159,268/x
  3. Step 3: Cross multiply
    227,465.92x = 313,570.68 × 159,268
  4. Step 4: Simplify right side
    227,465.92x = 49,941,775,062.24
  5. Step 5: Solve for x
    x = 49,941,775,062.24/227,465.92
  6. Step 6: Final answer
    x = 219,557.18

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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.