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Finding the Fourth Proportional to 133,059.10, 199,588.65 and 106,815.10

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Solution

The fourth proportional to 133,059.10, 199,588.65 and 106,815.10 is: 160,222.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,059.10 : 199,588.65 = 106,815.10 : x
  2. Step 2: Convert to fraction form
    133,059.10/199,588.65 = 106,815.10/x
  3. Step 3: Cross multiply
    133,059.10x = 199,588.65 × 106,815.10
  4. Step 4: Simplify right side
    133,059.10x = 21,319,081,608.62
  5. Step 5: Solve for x
    x = 21,319,081,608.62/133,059.10
  6. Step 6: Final answer
    x = 160,222.65

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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.