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Finding the Fourth Proportional to 175,978.32, 263,994.60 and 57,621.12

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Solution

The fourth proportional to 175,978.32, 263,994.60 and 57,621.12 is: 86,440.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,978.32 : 263,994.60 = 57,621.12 : x
  2. Step 2: Convert to fraction form
    175,978.32/263,994.60 = 57,621.12/x
  3. Step 3: Cross multiply
    175,978.32x = 263,994.60 × 57,621.12
  4. Step 4: Simplify right side
    175,978.32x = 15,211,664,525.95
  5. Step 5: Solve for x
    x = 15,211,664,525.95/175,978.32
  6. Step 6: Final answer
    x = 86,440.56

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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.