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Finding the Fourth Proportional to 259,890.30, 358,644.72 and 145,170.54

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Solution

The fourth proportional to 259,890.30, 358,644.72 and 145,170.54 is: 200,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,890.30 : 358,644.72 = 145,170.54 : x
  2. Step 2: Convert to fraction form
    259,890.30/358,644.72 = 145,170.54/x
  3. Step 3: Cross multiply
    259,890.30x = 358,644.72 × 145,170.54
  4. Step 4: Simplify right side
    259,890.30x = 52,064,647,670.55
  5. Step 5: Solve for x
    x = 52,064,647,670.55/259,890.30
  6. Step 6: Final answer
    x = 200,333.17

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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.