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Finding the Fourth Proportional to 177,310.80, 265,966.20 and 72,205.20

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Solution

The fourth proportional to 177,310.80, 265,966.20 and 72,205.20 is: 108,307.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,310.80 : 265,966.20 = 72,205.20 : x
  2. Step 2: Convert to fraction form
    177,310.80/265,966.20 = 72,205.20/x
  3. Step 3: Cross multiply
    177,310.80x = 265,966.20 × 72,205.20
  4. Step 4: Simplify right side
    177,310.80x = 19,204,142,664.24
  5. Step 5: Solve for x
    x = 19,204,142,664.24/177,310.80
  6. Step 6: Final answer
    x = 108,307.80

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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.