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Finding the Fourth Proportional to 337,996.80, 506,803.23 and 138,083.13

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Solution

The fourth proportional to 337,996.80, 506,803.23 and 138,083.13 is: 207,046.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,996.80 : 506,803.23 = 138,083.13 : x
  2. Step 2: Convert to fraction form
    337,996.80/506,803.23 = 138,083.13/x
  3. Step 3: Cross multiply
    337,996.80x = 506,803.23 × 138,083.13
  4. Step 4: Simplify right side
    337,996.80x = 69,980,976,292.51
  5. Step 5: Solve for x
    x = 69,980,976,292.51/337,996.80
  6. Step 6: Final answer
    x = 207,046.27

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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.