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Finding the Fourth Proportional to 260,231.32, 359,102.54 and 145,519.41

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Solution

The fourth proportional to 260,231.32, 359,102.54 and 145,519.41 is: 200,807.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,231.32 : 359,102.54 = 145,519.41 : x
  2. Step 2: Convert to fraction form
    260,231.32/359,102.54 = 145,519.41/x
  3. Step 3: Cross multiply
    260,231.32x = 359,102.54 × 145,519.41
  4. Step 4: Simplify right side
    260,231.32x = 52,256,390,114.10
  5. Step 5: Solve for x
    x = 52,256,390,114.10/260,231.32
  6. Step 6: Final answer
    x = 200,807.46

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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.