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Finding the Fourth Proportional to 193,217.40, 289,826.10 and 81,024.30

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Solution

The fourth proportional to 193,217.40, 289,826.10 and 81,024.30 is: 121,536.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,217.40 : 289,826.10 = 81,024.30 : x
  2. Step 2: Convert to fraction form
    193,217.40/289,826.10 = 81,024.30/x
  3. Step 3: Cross multiply
    193,217.40x = 289,826.10 × 81,024.30
  4. Step 4: Simplify right side
    193,217.40x = 23,482,956,874.23
  5. Step 5: Solve for x
    x = 23,482,956,874.23/193,217.40
  6. Step 6: Final answer
    x = 121,536.45

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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.