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Finding the Fourth Proportional to 118,833.80, 178,193.10 and 66,187.40

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Solution

The fourth proportional to 118,833.80, 178,193.10 and 66,187.40 is: 99,249.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,833.80 : 178,193.10 = 66,187.40 : x
  2. Step 2: Convert to fraction form
    118,833.80/178,193.10 = 66,187.40/x
  3. Step 3: Cross multiply
    118,833.80x = 178,193.10 × 66,187.40
  4. Step 4: Simplify right side
    118,833.80x = 11,794,137,986.94
  5. Step 5: Solve for x
    x = 11,794,137,986.94/118,833.80
  6. Step 6: Final answer
    x = 99,249.02

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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.