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Finding the Fourth Proportional to 275,708.63, 413,336.96 and 98,114.51

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Solution

The fourth proportional to 275,708.63, 413,336.96 and 98,114.51 is: 147,091.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,708.63 : 413,336.96 = 98,114.51 : x
  2. Step 2: Convert to fraction form
    275,708.63/413,336.96 = 98,114.51/x
  3. Step 3: Cross multiply
    275,708.63x = 413,336.96 × 98,114.51
  4. Step 4: Simplify right side
    275,708.63x = 40,554,354,205.99
  5. Step 5: Solve for x
    x = 40,554,354,205.99/275,708.63
  6. Step 6: Final answer
    x = 147,091.35

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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.