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Finding the Fourth Proportional to 244,895.96, 367,318.02 and 78,671

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Solution

The fourth proportional to 244,895.96, 367,318.02 and 78,671 is: 117,998.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,895.96 : 367,318.02 = 78,671 : x
  2. Step 2: Convert to fraction form
    244,895.96/367,318.02 = 78,671/x
  3. Step 3: Cross multiply
    244,895.96x = 367,318.02 × 78,671
  4. Step 4: Simplify right side
    244,895.96x = 28,897,275,951.42
  5. Step 5: Solve for x
    x = 28,897,275,951.42/244,895.96
  6. Step 6: Final answer
    x = 117,998.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.