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Finding the Fourth Proportional to 128,811.60, 193,217.40 and 105,464.40

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Solution

The fourth proportional to 128,811.60, 193,217.40 and 105,464.40 is: 158,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,811.60 : 193,217.40 = 105,464.40 : x
  2. Step 2: Convert to fraction form
    128,811.60/193,217.40 = 105,464.40/x
  3. Step 3: Cross multiply
    128,811.60x = 193,217.40 × 105,464.40
  4. Step 4: Simplify right side
    128,811.60x = 20,377,557,160.56
  5. Step 5: Solve for x
    x = 20,377,557,160.56/128,811.60
  6. Step 6: Final answer
    x = 158,196.60

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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.