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Finding the Fourth Proportional to 133,068.30, 199,310.85 and 118,293.90

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Solution

The fourth proportional to 133,068.30, 199,310.85 and 118,293.90 is: 177,181.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,068.30 : 199,310.85 = 118,293.90 : x
  2. Step 2: Convert to fraction form
    133,068.30/199,310.85 = 118,293.90/x
  3. Step 3: Cross multiply
    133,068.30x = 199,310.85 × 118,293.90
  4. Step 4: Simplify right side
    133,068.30x = 23,577,257,758.82
  5. Step 5: Solve for x
    x = 23,577,257,758.82/133,068.30
  6. Step 6: Final answer
    x = 177,181.63

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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.