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Finding the Fourth Proportional to 275,708.80, 413,611.80 and 98,318.80

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Solution

The fourth proportional to 275,708.80, 413,611.80 and 98,318.80 is: 147,495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,708.80 : 413,611.80 = 98,318.80 : x
  2. Step 2: Convert to fraction form
    275,708.80/413,611.80 = 98,318.80/x
  3. Step 3: Cross multiply
    275,708.80x = 413,611.80 × 98,318.80
  4. Step 4: Simplify right side
    275,708.80x = 40,665,815,841.84
  5. Step 5: Solve for x
    x = 40,665,815,841.84/275,708.80
  6. Step 6: Final answer
    x = 147,495.53

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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.