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Finding the Fourth Proportional to 191,282.34, 263,968.80 and 106,399.38

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Solution

The fourth proportional to 191,282.34, 263,968.80 and 106,399.38 is: 146,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,282.34 : 263,968.80 = 106,399.38 : x
  2. Step 2: Convert to fraction form
    191,282.34/263,968.80 = 106,399.38/x
  3. Step 3: Cross multiply
    191,282.34x = 263,968.80 × 106,399.38
  4. Step 4: Simplify right side
    191,282.34x = 28,086,116,659.34
  5. Step 5: Solve for x
    x = 28,086,116,659.34/191,282.34
  6. Step 6: Final answer
    x = 146,830.68

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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.