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Finding the Fourth Proportional to 275,714.46, 413,345.67 and 98,120.34

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Solution

The fourth proportional to 275,714.46, 413,345.67 and 98,120.34 is: 147,100.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,714.46 : 413,345.67 = 98,120.34 : x
  2. Step 2: Convert to fraction form
    275,714.46/413,345.67 = 98,120.34/x
  3. Step 3: Cross multiply
    275,714.46x = 413,345.67 × 98,120.34
  4. Step 4: Simplify right side
    275,714.46x = 40,557,617,677.93
  5. Step 5: Solve for x
    x = 40,557,617,677.93/275,714.46
  6. Step 6: Final answer
    x = 147,100.07

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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.