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Finding the Fourth Proportional to 411,072.39, 616,234.89 and 158,191.62

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Solution

The fourth proportional to 411,072.39, 616,234.89 and 158,191.62 is: 237,143.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,072.39 : 616,234.89 = 158,191.62 : x
  2. Step 2: Convert to fraction form
    411,072.39/616,234.89 = 158,191.62/x
  3. Step 3: Cross multiply
    411,072.39x = 616,234.89 × 158,191.62
  4. Step 4: Simplify right side
    411,072.39x = 97,483,195,549.62
  5. Step 5: Solve for x
    x = 97,483,195,549.62/411,072.39
  6. Step 6: Final answer
    x = 237,143.62

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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.