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Finding the Fourth Proportional to 342,102.56, 513,229.44 and 117,457.88

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Solution

The fourth proportional to 342,102.56, 513,229.44 and 117,457.88 is: 176,212.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,102.56 : 513,229.44 = 117,457.88 : x
  2. Step 2: Convert to fraction form
    342,102.56/513,229.44 = 117,457.88/x
  3. Step 3: Cross multiply
    342,102.56x = 513,229.44 × 117,457.88
  4. Step 4: Simplify right side
    342,102.56x = 60,282,841,975.99
  5. Step 5: Solve for x
    x = 60,282,841,975.99/342,102.56
  6. Step 6: Final answer
    x = 176,212.78

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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.