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Finding the Fourth Proportional to 415,113.12, 622,757.16 and 134,608.50

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Solution

The fourth proportional to 415,113.12, 622,757.16 and 134,608.50 is: 201,941.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,113.12 : 622,757.16 = 134,608.50 : x
  2. Step 2: Convert to fraction form
    415,113.12/622,757.16 = 134,608.50/x
  3. Step 3: Cross multiply
    415,113.12x = 622,757.16 × 134,608.50
  4. Step 4: Simplify right side
    415,113.12x = 83,828,407,171.86
  5. Step 5: Solve for x
    x = 83,828,407,171.86/415,113.12
  6. Step 6: Final answer
    x = 201,941.12

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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.