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Finding the Fourth Proportional to 323,796.24, 485,577.72 and 136,822.32

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Solution

The fourth proportional to 323,796.24, 485,577.72 and 136,822.32 is: 205,184.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,796.24 : 485,577.72 = 136,822.32 : x
  2. Step 2: Convert to fraction form
    323,796.24/485,577.72 = 136,822.32/x
  3. Step 3: Cross multiply
    323,796.24x = 485,577.72 × 136,822.32
  4. Step 4: Simplify right side
    323,796.24x = 66,437,870,190.71
  5. Step 5: Solve for x
    x = 66,437,870,190.71/323,796.24
  6. Step 6: Final answer
    x = 205,184.19

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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.