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Finding the Fourth Proportional to 191,609.28, 264,422.88 and 106,731

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Solution

The fourth proportional to 191,609.28, 264,422.88 and 106,731 is: 147,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,609.28 : 264,422.88 = 106,731 : x
  2. Step 2: Convert to fraction form
    191,609.28/264,422.88 = 106,731/x
  3. Step 3: Cross multiply
    191,609.28x = 264,422.88 × 106,731
  4. Step 4: Simplify right side
    191,609.28x = 28,222,118,405.28
  5. Step 5: Solve for x
    x = 28,222,118,405.28/191,609.28
  6. Step 6: Final answer
    x = 147,289.94

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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.