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Finding the Fourth Proportional to 177,321.40, 265,544.70 and 132,706.60

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Solution

The fourth proportional to 177,321.40, 265,544.70 and 132,706.60 is: 198,732.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,321.40 : 265,544.70 = 132,706.60 : x
  2. Step 2: Convert to fraction form
    177,321.40/265,544.70 = 132,706.60/x
  3. Step 3: Cross multiply
    177,321.40x = 265,544.70 × 132,706.60
  4. Step 4: Simplify right side
    177,321.40x = 35,239,534,285.02
  5. Step 5: Solve for x
    x = 35,239,534,285.02/177,321.40
  6. Step 6: Final answer
    x = 198,732.55

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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.