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Finding the Fourth Proportional to 259,883.50, 358,639.43 and 140,651.50

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Solution

The fourth proportional to 259,883.50, 358,639.43 and 140,651.50 is: 194,099.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,883.50 : 358,639.43 = 140,651.50 : x
  2. Step 2: Convert to fraction form
    259,883.50/358,639.43 = 140,651.50/x
  3. Step 3: Cross multiply
    259,883.50x = 358,639.43 × 140,651.50
  4. Step 4: Simplify right side
    259,883.50x = 50,443,173,788.65
  5. Step 5: Solve for x
    x = 50,443,173,788.65/259,883.50
  6. Step 6: Final answer
    x = 194,099.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.