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Finding the Fourth Proportional to 415,164.24, 622,642.68 and 134,761.68

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Solution

The fourth proportional to 415,164.24, 622,642.68 and 134,761.68 is: 202,108.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,164.24 : 622,642.68 = 134,761.68 : x
  2. Step 2: Convert to fraction form
    415,164.24/622,642.68 = 134,761.68/x
  3. Step 3: Cross multiply
    415,164.24x = 622,642.68 × 134,761.68
  4. Step 4: Simplify right side
    415,164.24x = 83,908,373,596.50
  5. Step 5: Solve for x
    x = 83,908,373,596.50/415,164.24
  6. Step 6: Final answer
    x = 202,108.87

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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.