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Finding the Fourth Proportional to 253,839.20, 350,288.32 and 146,428.40

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Solution

The fourth proportional to 253,839.20, 350,288.32 and 146,428.40 is: 202,065.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,839.20 : 350,288.32 = 146,428.40 : x
  2. Step 2: Convert to fraction form
    253,839.20/350,288.32 = 146,428.40/x
  3. Step 3: Cross multiply
    253,839.20x = 350,288.32 × 146,428.40
  4. Step 4: Simplify right side
    253,839.20x = 51,292,158,236.29
  5. Step 5: Solve for x
    x = 51,292,158,236.29/253,839.20
  6. Step 6: Final answer
    x = 202,065.55

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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.