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Finding the Fourth Proportional to 197,711.35, 296,487.82 and 73,024.63

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Solution

The fourth proportional to 197,711.35, 296,487.82 and 73,024.63 is: 109,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,711.35 : 296,487.82 = 73,024.63 : x
  2. Step 2: Convert to fraction form
    197,711.35/296,487.82 = 73,024.63/x
  3. Step 3: Cross multiply
    197,711.35x = 296,487.82 × 73,024.63
  4. Step 4: Simplify right side
    197,711.35x = 21,650,913,355.01
  5. Step 5: Solve for x
    x = 21,650,913,355.01/197,711.35
  6. Step 6: Final answer
    x = 109,507.69

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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.