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Finding the Fourth Proportional to 275,637.80, 413,505.30 and 98,247.80

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Solution

The fourth proportional to 275,637.80, 413,505.30 and 98,247.80 is: 147,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,637.80 : 413,505.30 = 98,247.80 : x
  2. Step 2: Convert to fraction form
    275,637.80/413,505.30 = 98,247.80/x
  3. Step 3: Cross multiply
    275,637.80x = 413,505.30 × 98,247.80
  4. Step 4: Simplify right side
    275,637.80x = 40,625,986,013.34
  5. Step 5: Solve for x
    x = 40,625,986,013.34/275,637.80
  6. Step 6: Final answer
    x = 147,389.02

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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.