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Finding the Fourth Proportional to 265,915.38, 366,963.73 and 145,056.82

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Solution

The fourth proportional to 265,915.38, 366,963.73 and 145,056.82 is: 200,178.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,915.38 : 366,963.73 = 145,056.82 : x
  2. Step 2: Convert to fraction form
    265,915.38/366,963.73 = 145,056.82/x
  3. Step 3: Cross multiply
    265,915.38x = 366,963.73 × 145,056.82
  4. Step 4: Simplify right side
    265,915.38x = 53,230,591,729.14
  5. Step 5: Solve for x
    x = 53,230,591,729.14/265,915.38
  6. Step 6: Final answer
    x = 200,178.69

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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.