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Finding the Fourth Proportional to 260,232.32, 359,103.92 and 145,520.41

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Solution

The fourth proportional to 260,232.32, 359,103.92 and 145,520.41 is: 200,808.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,232.32 : 359,103.92 = 145,520.41 : x
  2. Step 2: Convert to fraction form
    260,232.32/359,103.92 = 145,520.41/x
  3. Step 3: Cross multiply
    260,232.32x = 359,103.92 × 145,520.41
  4. Step 4: Simplify right side
    260,232.32x = 52,256,949,671.01
  5. Step 5: Solve for x
    x = 52,256,949,671.01/260,232.32
  6. Step 6: Final answer
    x = 200,808.84

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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.