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Finding the Fourth Proportional to 194,761.60, 292,142.40 and 110,780.80

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Solution

The fourth proportional to 194,761.60, 292,142.40 and 110,780.80 is: 166,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,761.60 : 292,142.40 = 110,780.80 : x
  2. Step 2: Convert to fraction form
    194,761.60/292,142.40 = 110,780.80/x
  3. Step 3: Cross multiply
    194,761.60x = 292,142.40 × 110,780.80
  4. Step 4: Simplify right side
    194,761.60x = 32,363,768,785.92
  5. Step 5: Solve for x
    x = 32,363,768,785.92/194,761.60
  6. Step 6: Final answer
    x = 166,171.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.