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Finding the Fourth Proportional to 132,947.60, 199,291.80 and 118,950.80

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Solution

The fourth proportional to 132,947.60, 199,291.80 and 118,950.80 is: 178,310.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,947.60 : 199,291.80 = 118,950.80 : x
  2. Step 2: Convert to fraction form
    132,947.60/199,291.80 = 118,950.80/x
  3. Step 3: Cross multiply
    132,947.60x = 199,291.80 × 118,950.80
  4. Step 4: Simplify right side
    132,947.60x = 23,705,919,043.44
  5. Step 5: Solve for x
    x = 23,705,919,043.44/132,947.60
  6. Step 6: Final answer
    x = 178,310.24

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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.