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Finding the Fourth Proportional to 275,654.98, 413,380.41 and 98,114.32

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Solution

The fourth proportional to 275,654.98, 413,380.41 and 98,114.32 is: 147,135.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,654.98 : 413,380.41 = 98,114.32 : x
  2. Step 2: Convert to fraction form
    275,654.98/413,380.41 = 98,114.32/x
  3. Step 3: Cross multiply
    275,654.98x = 413,380.41 × 98,114.32
  4. Step 4: Simplify right side
    275,654.98x = 40,558,537,828.47
  5. Step 5: Solve for x
    x = 40,558,537,828.47/275,654.98
  6. Step 6: Final answer
    x = 147,135.15

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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.