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Finding the Fourth Proportional to 177,308.80, 265,963.20 and 72,203.20

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Solution

The fourth proportional to 177,308.80, 265,963.20 and 72,203.20 is: 108,304.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,308.80 : 265,963.20 = 72,203.20 : x
  2. Step 2: Convert to fraction form
    177,308.80/265,963.20 = 72,203.20/x
  3. Step 3: Cross multiply
    177,308.80x = 265,963.20 × 72,203.20
  4. Step 4: Simplify right side
    177,308.80x = 19,203,394,122.24
  5. Step 5: Solve for x
    x = 19,203,394,122.24/177,308.80
  6. Step 6: Final answer
    x = 108,304.80

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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.