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Finding the Fourth Proportional to 264,761.92, 365,375.16 and 143,903.16

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Solution

The fourth proportional to 264,761.92, 365,375.16 and 143,903.16 is: 198,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,761.92 : 365,375.16 = 143,903.16 : x
  2. Step 2: Convert to fraction form
    264,761.92/365,375.16 = 143,903.16/x
  3. Step 3: Cross multiply
    264,761.92x = 365,375.16 × 143,903.16
  4. Step 4: Simplify right side
    264,761.92x = 52,578,640,109.51
  5. Step 5: Solve for x
    x = 52,578,640,109.51/264,761.92
  6. Step 6: Final answer
    x = 198,588.38

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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.