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Finding the Fourth Proportional to 262,825.48, 362,609.22 and 149,619.88

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Solution

The fourth proportional to 262,825.48, 362,609.22 and 149,619.88 is: 206,424.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,825.48 : 362,609.22 = 149,619.88 : x
  2. Step 2: Convert to fraction form
    262,825.48/362,609.22 = 149,619.88/x
  3. Step 3: Cross multiply
    262,825.48x = 362,609.22 × 149,619.88
  4. Step 4: Simplify right side
    262,825.48x = 54,253,547,983.29
  5. Step 5: Solve for x
    x = 54,253,547,983.29/262,825.48
  6. Step 6: Final answer
    x = 206,424.23

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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.