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Finding the Fourth Proportional to 164,991.32, 227,690.75 and 89,539.82

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Solution

The fourth proportional to 164,991.32, 227,690.75 and 89,539.82 is: 123,566.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,991.32 : 227,690.75 = 89,539.82 : x
  2. Step 2: Convert to fraction form
    164,991.32/227,690.75 = 89,539.82/x
  3. Step 3: Cross multiply
    164,991.32x = 227,690.75 × 89,539.82
  4. Step 4: Simplify right side
    164,991.32x = 20,387,387,184.51
  5. Step 5: Solve for x
    x = 20,387,387,184.51/164,991.32
  6. Step 6: Final answer
    x = 123,566.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.