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Finding the Fourth Proportional to 194,691.96, 268,673.58 and 105,267.96

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Solution

The fourth proportional to 194,691.96, 268,673.58 and 105,267.96 is: 145,269.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,691.96 : 268,673.58 = 105,267.96 : x
  2. Step 2: Convert to fraction form
    194,691.96/268,673.58 = 105,267.96/x
  3. Step 3: Cross multiply
    194,691.96x = 268,673.58 × 105,267.96
  4. Step 4: Simplify right side
    194,691.96x = 28,282,719,672.50
  5. Step 5: Solve for x
    x = 28,282,719,672.50/194,691.96
  6. Step 6: Final answer
    x = 145,269.07

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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.