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Finding the Fourth Proportional to 254,021.42, 350,546.67 and 146,589.14

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Solution

The fourth proportional to 254,021.42, 350,546.67 and 146,589.14 is: 202,291.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,021.42 : 350,546.67 = 146,589.14 : x
  2. Step 2: Convert to fraction form
    254,021.42/350,546.67 = 146,589.14/x
  3. Step 3: Cross multiply
    254,021.42x = 350,546.67 × 146,589.14
  4. Step 4: Simplify right side
    254,021.42x = 51,386,335,761.53
  5. Step 5: Solve for x
    x = 51,386,335,761.53/254,021.42
  6. Step 6: Final answer
    x = 202,291.35

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