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Finding the Fourth Proportional to 508,138.26, 762,207.33 and 134,164.50

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Solution

The fourth proportional to 508,138.26, 762,207.33 and 134,164.50 is: 201,246.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,138.26 : 762,207.33 = 134,164.50 : x
  2. Step 2: Convert to fraction form
    508,138.26/762,207.33 = 134,164.50/x
  3. Step 3: Cross multiply
    508,138.26x = 762,207.33 × 134,164.50
  4. Step 4: Simplify right side
    508,138.26x = 102,261,165,325.79
  5. Step 5: Solve for x
    x = 102,261,165,325.79/508,138.26
  6. Step 6: Final answer
    x = 201,246.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.