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Finding the Fourth Proportional to 281,043.87, 387,762.44 and 167,825.31

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Solution

The fourth proportional to 281,043.87, 387,762.44 and 167,825.31 is: 231,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,043.87 : 387,762.44 = 167,825.31 : x
  2. Step 2: Convert to fraction form
    281,043.87/387,762.44 = 167,825.31/x
  3. Step 3: Cross multiply
    281,043.87x = 387,762.44 × 167,825.31
  4. Step 4: Simplify right side
    281,043.87x = 65,076,350,860.23
  5. Step 5: Solve for x
    x = 65,076,350,860.23/281,043.87
  6. Step 6: Final answer
    x = 231,552.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.