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Finding the Fourth Proportional to 308,663.75, 462,656.95 and 158,912.03

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Solution

The fourth proportional to 308,663.75, 462,656.95 and 158,912.03 is: 238,193.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,663.75 : 462,656.95 = 158,912.03 : x
  2. Step 2: Convert to fraction form
    308,663.75/462,656.95 = 158,912.03/x
  3. Step 3: Cross multiply
    308,663.75x = 462,656.95 × 158,912.03
  4. Step 4: Simplify right side
    308,663.75x = 73,521,755,118.11
  5. Step 5: Solve for x
    x = 73,521,755,118.11/308,663.75
  6. Step 6: Final answer
    x = 238,193.68

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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.