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Finding the Fourth Proportional to 314,704.56, 471,720.60 and 124,902.12

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Solution

The fourth proportional to 314,704.56, 471,720.60 and 124,902.12 is: 187,219.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,704.56 : 471,720.60 = 124,902.12 : x
  2. Step 2: Convert to fraction form
    314,704.56/471,720.60 = 124,902.12/x
  3. Step 3: Cross multiply
    314,704.56x = 471,720.60 × 124,902.12
  4. Step 4: Simplify right side
    314,704.56x = 58,918,902,987.67
  5. Step 5: Solve for x
    x = 58,918,902,987.67/314,704.56
  6. Step 6: Final answer
    x = 187,219.73

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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.