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Finding the Fourth Proportional to 342,104.56, 513,232.44 and 117,459.88

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Solution

The fourth proportional to 342,104.56, 513,232.44 and 117,459.88 is: 176,215.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,104.56 : 513,232.44 = 117,459.88 : x
  2. Step 2: Convert to fraction form
    342,104.56/513,232.44 = 117,459.88/x
  3. Step 3: Cross multiply
    342,104.56x = 513,232.44 × 117,459.88
  4. Step 4: Simplify right side
    342,104.56x = 60,284,220,814.51
  5. Step 5: Solve for x
    x = 60,284,220,814.51/342,104.56
  6. Step 6: Final answer
    x = 176,215.78

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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.