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Finding the Fourth Proportional to 177,232.64, 265,803.60 and 52,544.48

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Solution

The fourth proportional to 177,232.64, 265,803.60 and 52,544.48 is: 78,803.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,232.64 : 265,803.60 = 52,544.48 : x
  2. Step 2: Convert to fraction form
    177,232.64/265,803.60 = 52,544.48/x
  3. Step 3: Cross multiply
    177,232.64x = 265,803.60 × 52,544.48
  4. Step 4: Simplify right side
    177,232.64x = 13,966,511,944.13
  5. Step 5: Solve for x
    x = 13,966,511,944.13/177,232.64
  6. Step 6: Final answer
    x = 78,803.27

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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.