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Finding the Fourth Proportional to 260,380.14, 359,319.84 and 147,202.92

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Solution

The fourth proportional to 260,380.14, 359,319.84 and 147,202.92 is: 203,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,380.14 : 359,319.84 = 147,202.92 : x
  2. Step 2: Convert to fraction form
    260,380.14/359,319.84 = 147,202.92/x
  3. Step 3: Cross multiply
    260,380.14x = 359,319.84 × 147,202.92
  4. Step 4: Simplify right side
    260,380.14x = 52,892,929,661.93
  5. Step 5: Solve for x
    x = 52,892,929,661.93/260,380.14
  6. Step 6: Final answer
    x = 203,137.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.