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Finding the Fourth Proportional to 260,103.38, 358,958.13 and 145,387.94

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Solution

The fourth proportional to 260,103.38, 358,958.13 and 145,387.94 is: 200,644.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,103.38 : 358,958.13 = 145,387.94 : x
  2. Step 2: Convert to fraction form
    260,103.38/358,958.13 = 145,387.94/x
  3. Step 3: Cross multiply
    260,103.38x = 358,958.13 × 145,387.94
  4. Step 4: Simplify right side
    260,103.38x = 52,188,183,066.95
  5. Step 5: Solve for x
    x = 52,188,183,066.95/260,103.38
  6. Step 6: Final answer
    x = 200,644.00

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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.