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Finding the Fourth Proportional to 257,673.80, 386,702.70 and 132,950.60

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Solution

The fourth proportional to 257,673.80, 386,702.70 and 132,950.60 is: 199,524.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,673.80 : 386,702.70 = 132,950.60 : x
  2. Step 2: Convert to fraction form
    257,673.80/386,702.70 = 132,950.60/x
  3. Step 3: Cross multiply
    257,673.80x = 386,702.70 × 132,950.60
  4. Step 4: Simplify right side
    257,673.80x = 51,412,355,986.62
  5. Step 5: Solve for x
    x = 51,412,355,986.62/257,673.80
  6. Step 6: Final answer
    x = 199,524.97

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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.