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Finding the Fourth Proportional to 146,034.11, 217,762.13 and 140,830.37

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Solution

The fourth proportional to 146,034.11, 217,762.13 and 140,830.37 is: 210,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,034.11 : 217,762.13 = 140,830.37 : x
  2. Step 2: Convert to fraction form
    146,034.11/217,762.13 = 140,830.37/x
  3. Step 3: Cross multiply
    146,034.11x = 217,762.13 × 140,830.37
  4. Step 4: Simplify right side
    146,034.11x = 30,667,519,546.93
  5. Step 5: Solve for x
    x = 30,667,519,546.93/146,034.11
  6. Step 6: Final answer
    x = 210,002.45

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.