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Finding the Fourth Proportional to 295,138.04, 407,290.54 and 167,821.42

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Solution

The fourth proportional to 295,138.04, 407,290.54 and 167,821.42 is: 231,593.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,138.04 : 407,290.54 = 167,821.42 : x
  2. Step 2: Convert to fraction form
    295,138.04/407,290.54 = 167,821.42/x
  3. Step 3: Cross multiply
    295,138.04x = 407,290.54 × 167,821.42
  4. Step 4: Simplify right side
    295,138.04x = 68,352,076,775.37
  5. Step 5: Solve for x
    x = 68,352,076,775.37/295,138.04
  6. Step 6: Final answer
    x = 231,593.59

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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.