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Finding the Fourth Proportional to 308,883.96, 463,625.54 and 149,072.36

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Solution

The fourth proportional to 308,883.96, 463,625.54 and 149,072.36 is: 223,753.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,883.96 : 463,625.54 = 149,072.36 : x
  2. Step 2: Convert to fraction form
    308,883.96/463,625.54 = 149,072.36/x
  3. Step 3: Cross multiply
    308,883.96x = 463,625.54 × 149,072.36
  4. Step 4: Simplify right side
    308,883.96x = 69,113,753,404.07
  5. Step 5: Solve for x
    x = 69,113,753,404.07/308,883.96
  6. Step 6: Final answer
    x = 223,753.13

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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.