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Finding the Fourth Proportional to 265,685.22, 366,638.27 and 144,828.86

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Solution

The fourth proportional to 265,685.22, 366,638.27 and 144,828.86 is: 199,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,685.22 : 366,638.27 = 144,828.86 : x
  2. Step 2: Convert to fraction form
    265,685.22/366,638.27 = 144,828.86/x
  3. Step 3: Cross multiply
    265,685.22x = 366,638.27 × 144,828.86
  4. Step 4: Simplify right side
    265,685.22x = 53,099,800,119.14
  5. Step 5: Solve for x
    x = 53,099,800,119.14/265,685.22
  6. Step 6: Final answer
    x = 199,859.82

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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.