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Finding the Fourth Proportional to 345,100.41, 517,775.17 and 120,493.93

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Solution

The fourth proportional to 345,100.41, 517,775.17 and 120,493.93 is: 180,784.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,100.41 : 517,775.17 = 120,493.93 : x
  2. Step 2: Convert to fraction form
    345,100.41/517,775.17 = 120,493.93/x
  3. Step 3: Cross multiply
    345,100.41x = 517,775.17 × 120,493.93
  4. Step 4: Simplify right side
    345,100.41x = 62,388,764,487.25
  5. Step 5: Solve for x
    x = 62,388,764,487.25/345,100.41
  6. Step 6: Final answer
    x = 180,784.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.