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Finding the Fourth Proportional to 260,002.55, 358,805.31 and 145,286.03

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Solution

The fourth proportional to 260,002.55, 358,805.31 and 145,286.03 is: 200,495.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,002.55 : 358,805.31 = 145,286.03 : x
  2. Step 2: Convert to fraction form
    260,002.55/358,805.31 = 145,286.03/x
  3. Step 3: Cross multiply
    260,002.55x = 358,805.31 × 145,286.03
  4. Step 4: Simplify right side
    260,002.55x = 52,129,397,238.79
  5. Step 5: Solve for x
    x = 52,129,397,238.79/260,002.55
  6. Step 6: Final answer
    x = 200,495.72

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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.