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Finding the Fourth Proportional to 177,260.76, 265,813.20 and 66,375

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Solution

The fourth proportional to 177,260.76, 265,813.20 and 66,375 is: 99,533.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,260.76 : 265,813.20 = 66,375 : x
  2. Step 2: Convert to fraction form
    177,260.76/265,813.20 = 66,375/x
  3. Step 3: Cross multiply
    177,260.76x = 265,813.20 × 66,375
  4. Step 4: Simplify right side
    177,260.76x = 17,643,351,150
  5. Step 5: Solve for x
    x = 17,643,351,150/177,260.76
  6. Step 6: Final answer
    x = 99,533.32

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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.