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Finding the Fourth Proportional to 254,043.32, 350,608.68 and 146,642.18

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Solution

The fourth proportional to 254,043.32, 350,608.68 and 146,642.18 is: 202,382.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,043.32 : 350,608.68 = 146,642.18 : x
  2. Step 2: Convert to fraction form
    254,043.32/350,608.68 = 146,642.18/x
  3. Step 3: Cross multiply
    254,043.32x = 350,608.68 × 146,642.18
  4. Step 4: Simplify right side
    254,043.32x = 51,414,021,162.12
  5. Step 5: Solve for x
    x = 51,414,021,162.12/254,043.32
  6. Step 6: Final answer
    x = 202,382.89

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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.