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Finding the Fourth Proportional to 254,013, 350,550.09 and 140,835.75

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Solution

The fourth proportional to 254,013, 350,550.09 and 140,835.75 is: 194,360.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,013 : 350,550.09 = 140,835.75 : x
  2. Step 2: Convert to fraction form
    254,013/350,550.09 = 140,835.75/x
  3. Step 3: Cross multiply
    254,013x = 350,550.09 × 140,835.75
  4. Step 4: Simplify right side
    254,013x = 49,369,984,837.72
  5. Step 5: Solve for x
    x = 49,369,984,837.72/254,013
  6. Step 6: Final answer
    x = 194,360.07

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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.