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Finding the Fourth Proportional to 275,658.81, 413,503.77 and 98,165.82

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Solution

The fourth proportional to 275,658.81, 413,503.77 and 98,165.82 is: 147,254.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,658.81 : 413,503.77 = 98,165.82 : x
  2. Step 2: Convert to fraction form
    275,658.81/413,503.77 = 98,165.82/x
  3. Step 3: Cross multiply
    275,658.81x = 413,503.77 × 98,165.82
  4. Step 4: Simplify right side
    275,658.81x = 40,591,936,655.14
  5. Step 5: Solve for x
    x = 40,591,936,655.14/275,658.81
  6. Step 6: Final answer
    x = 147,254.27

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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.