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Finding the Fourth Proportional to 231,105.60, 346,658.40 and 193,780.80

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Solution

The fourth proportional to 231,105.60, 346,658.40 and 193,780.80 is: 290,671.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,105.60 : 346,658.40 = 193,780.80 : x
  2. Step 2: Convert to fraction form
    231,105.60/346,658.40 = 193,780.80/x
  3. Step 3: Cross multiply
    231,105.60x = 346,658.40 × 193,780.80
  4. Step 4: Simplify right side
    231,105.60x = 67,175,742,078.72
  5. Step 5: Solve for x
    x = 67,175,742,078.72/231,105.60
  6. Step 6: Final answer
    x = 290,671.20

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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.