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Finding the Fourth Proportional to 177,206.60, 265,886.70 and 83,664.20

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Solution

The fourth proportional to 177,206.60, 265,886.70 and 83,664.20 is: 125,532.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,206.60 : 265,886.70 = 83,664.20 : x
  2. Step 2: Convert to fraction form
    177,206.60/265,886.70 = 83,664.20/x
  3. Step 3: Cross multiply
    177,206.60x = 265,886.70 × 83,664.20
  4. Step 4: Simplify right side
    177,206.60x = 22,245,198,046.14
  5. Step 5: Solve for x
    x = 22,245,198,046.14/177,206.60
  6. Step 6: Final answer
    x = 125,532.56

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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.