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Finding the Fourth Proportional to 265,584.60, 366,506.75 and 144,725.85

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Solution

The fourth proportional to 265,584.60, 366,506.75 and 144,725.85 is: 199,721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,584.60 : 366,506.75 = 144,725.85 : x
  2. Step 2: Convert to fraction form
    265,584.60/366,506.75 = 144,725.85/x
  3. Step 3: Cross multiply
    265,584.60x = 366,506.75 × 144,725.85
  4. Step 4: Simplify right side
    265,584.60x = 53,043,001,286.30
  5. Step 5: Solve for x
    x = 53,043,001,286.30/265,584.60
  6. Step 6: Final answer
    x = 199,721.68

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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.