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Finding the Fourth Proportional to 133,073.10, 199,609.65 and 106,829.10

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Solution

The fourth proportional to 133,073.10, 199,609.65 and 106,829.10 is: 160,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,073.10 : 199,609.65 = 106,829.10 : x
  2. Step 2: Convert to fraction form
    133,073.10/199,609.65 = 106,829.10/x
  3. Step 3: Cross multiply
    133,073.10x = 199,609.65 × 106,829.10
  4. Step 4: Simplify right side
    133,073.10x = 21,324,119,260.82
  5. Step 5: Solve for x
    x = 21,324,119,260.82/133,073.10
  6. Step 6: Final answer
    x = 160,243.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.