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Finding the Fourth Proportional to 118,321, 177,507.42 and 44,449

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Solution

The fourth proportional to 118,321, 177,507.42 and 44,449 is: 66,683.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,321 : 177,507.42 = 44,449 : x
  2. Step 2: Convert to fraction form
    118,321/177,507.42 = 44,449/x
  3. Step 3: Cross multiply
    118,321x = 177,507.42 × 44,449
  4. Step 4: Simplify right side
    118,321x = 7,890,027,311.58
  5. Step 5: Solve for x
    x = 7,890,027,311.58/118,321
  6. Step 6: Final answer
    x = 66,683.24

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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.