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Finding the Fourth Proportional to 208,488.60, 287,745.20 and 132,014.82

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Solution

The fourth proportional to 208,488.60, 287,745.20 and 132,014.82 is: 182,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,488.60 : 287,745.20 = 132,014.82 : x
  2. Step 2: Convert to fraction form
    208,488.60/287,745.20 = 132,014.82/x
  3. Step 3: Cross multiply
    208,488.60x = 287,745.20 × 132,014.82
  4. Step 4: Simplify right side
    208,488.60x = 37,986,630,123.79
  5. Step 5: Solve for x
    x = 37,986,630,123.79/208,488.60
  6. Step 6: Final answer
    x = 182,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.