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Finding the Fourth Proportional to 193,113.96, 289,671.12 and 109,833

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Solution

The fourth proportional to 193,113.96, 289,671.12 and 109,833 is: 164,749.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,113.96 : 289,671.12 = 109,833 : x
  2. Step 2: Convert to fraction form
    193,113.96/289,671.12 = 109,833/x
  3. Step 3: Cross multiply
    193,113.96x = 289,671.12 × 109,833
  4. Step 4: Simplify right side
    193,113.96x = 31,815,448,122.96
  5. Step 5: Solve for x
    x = 31,815,448,122.96/193,113.96
  6. Step 6: Final answer
    x = 164,749.60

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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.