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Finding the Fourth Proportional to 275,535.15, 413,307.11 and 104,759.47

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Solution

The fourth proportional to 275,535.15, 413,307.11 and 104,759.47 is: 157,140.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,535.15 : 413,307.11 = 104,759.47 : x
  2. Step 2: Convert to fraction form
    275,535.15/413,307.11 = 104,759.47/x
  3. Step 3: Cross multiply
    275,535.15x = 413,307.11 × 104,759.47
  4. Step 4: Simplify right side
    275,535.15x = 43,297,831,655.24
  5. Step 5: Solve for x
    x = 43,297,831,655.24/275,535.15
  6. Step 6: Final answer
    x = 157,140.86

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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.