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Finding the Fourth Proportional to 360,833.63, 541,370.68 and 120,971.24

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Solution

The fourth proportional to 360,833.63, 541,370.68 and 120,971.24 is: 181,497.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,833.63 : 541,370.68 = 120,971.24 : x
  2. Step 2: Convert to fraction form
    360,833.63/541,370.68 = 120,971.24/x
  3. Step 3: Cross multiply
    360,833.63x = 541,370.68 × 120,971.24
  4. Step 4: Simplify right side
    360,833.63x = 65,490,279,449.96
  5. Step 5: Solve for x
    x = 65,490,279,449.96/360,833.63
  6. Step 6: Final answer
    x = 181,497.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.