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Finding the Fourth Proportional to 308,927.22, 463,301.31 and 92,777.25

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Solution

The fourth proportional to 308,927.22, 463,301.31 and 92,777.25 is: 139,138.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,927.22 : 463,301.31 = 92,777.25 : x
  2. Step 2: Convert to fraction form
    308,927.22/463,301.31 = 92,777.25/x
  3. Step 3: Cross multiply
    308,927.22x = 463,301.31 × 92,777.25
  4. Step 4: Simplify right side
    308,927.22x = 42,983,821,463.20
  5. Step 5: Solve for x
    x = 42,983,821,463.20/308,927.22
  6. Step 6: Final answer
    x = 139,138.99

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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.