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Finding the Fourth Proportional to 119,513.64, 179,241.30 and 49,413

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Solution

The fourth proportional to 119,513.64, 179,241.30 and 49,413 is: 74,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,513.64 : 179,241.30 = 49,413 : x
  2. Step 2: Convert to fraction form
    119,513.64/179,241.30 = 49,413/x
  3. Step 3: Cross multiply
    119,513.64x = 179,241.30 × 49,413
  4. Step 4: Simplify right side
    119,513.64x = 8,856,850,356.90
  5. Step 5: Solve for x
    x = 8,856,850,356.90/119,513.64
  6. Step 6: Final answer
    x = 74,107.44

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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.