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Finding the Fourth Proportional to 133,617.14, 200,166.32 and 119,421.08

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Solution

The fourth proportional to 133,617.14, 200,166.32 and 119,421.08 is: 178,899.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,617.14 : 200,166.32 = 119,421.08 : x
  2. Step 2: Convert to fraction form
    133,617.14/200,166.32 = 119,421.08/x
  3. Step 3: Cross multiply
    133,617.14x = 200,166.32 × 119,421.08
  4. Step 4: Simplify right side
    133,617.14x = 23,904,078,114.03
  5. Step 5: Solve for x
    x = 23,904,078,114.03/133,617.14
  6. Step 6: Final answer
    x = 178,899.79

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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.