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Finding the Fourth Proportional to 309,007.82, 463,683.96 and 166,850.09

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Solution

The fourth proportional to 309,007.82, 463,683.96 and 166,850.09 is: 250,368.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,007.82 : 463,683.96 = 166,850.09 : x
  2. Step 2: Convert to fraction form
    309,007.82/463,683.96 = 166,850.09/x
  3. Step 3: Cross multiply
    309,007.82x = 463,683.96 × 166,850.09
  4. Step 4: Simplify right side
    309,007.82x = 77,365,709,877.95
  5. Step 5: Solve for x
    x = 77,365,709,877.95/309,007.82
  6. Step 6: Final answer
    x = 250,368.13

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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.