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Finding the Fourth Proportional to 118,893.84, 178,288.92 and 44,970

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Solution

The fourth proportional to 118,893.84, 178,288.92 and 44,970 is: 67,435.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,893.84 : 178,288.92 = 44,970 : x
  2. Step 2: Convert to fraction form
    118,893.84/178,288.92 = 44,970/x
  3. Step 3: Cross multiply
    118,893.84x = 178,288.92 × 44,970
  4. Step 4: Simplify right side
    118,893.84x = 8,017,652,732.40
  5. Step 5: Solve for x
    x = 8,017,652,732.40/118,893.84
  6. Step 6: Final answer
    x = 67,435.39

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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.