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Finding the Fourth Proportional to 194,355.69, 268,119.21 and 113,733.76

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Solution

The fourth proportional to 194,355.69, 268,119.21 and 113,733.76 is: 156,898.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,355.69 : 268,119.21 = 113,733.76 : x
  2. Step 2: Convert to fraction form
    194,355.69/268,119.21 = 113,733.76/x
  3. Step 3: Cross multiply
    194,355.69x = 268,119.21 × 113,733.76
  4. Step 4: Simplify right side
    194,355.69x = 30,494,205,881.53
  5. Step 5: Solve for x
    x = 30,494,205,881.53/194,355.69
  6. Step 6: Final answer
    x = 156,898.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.