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Finding the Fourth Proportional to 260,238.64, 359,121.60 and 145,510.24

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Solution

The fourth proportional to 260,238.64, 359,121.60 and 145,510.24 is: 200,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,238.64 : 359,121.60 = 145,510.24 : x
  2. Step 2: Convert to fraction form
    260,238.64/359,121.60 = 145,510.24/x
  3. Step 3: Cross multiply
    260,238.64x = 359,121.60 × 145,510.24
  4. Step 4: Simplify right side
    260,238.64x = 52,255,870,205.18
  5. Step 5: Solve for x
    x = 52,255,870,205.18/260,238.64
  6. Step 6: Final answer
    x = 200,799.81

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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.