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Finding the Fourth Proportional to 295,150.21, 407,305.41 and 167,825.81

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Solution

The fourth proportional to 295,150.21, 407,305.41 and 167,825.81 is: 231,598.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,150.21 : 407,305.41 = 167,825.81 : x
  2. Step 2: Convert to fraction form
    295,150.21/407,305.41 = 167,825.81/x
  3. Step 3: Cross multiply
    295,150.21x = 407,305.41 × 167,825.81
  4. Step 4: Simplify right side
    295,150.21x = 68,356,360,739.55
  5. Step 5: Solve for x
    x = 68,356,360,739.55/295,150.21
  6. Step 6: Final answer
    x = 231,598.55

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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.