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Finding the Fourth Proportional to 164,985.82, 227,680.42 and 89,534.32

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Solution

The fourth proportional to 164,985.82, 227,680.42 and 89,534.32 is: 123,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,985.82 : 227,680.42 = 89,534.32 : x
  2. Step 2: Convert to fraction form
    164,985.82/227,680.42 = 89,534.32/x
  3. Step 3: Cross multiply
    164,985.82x = 227,680.42 × 89,534.32
  4. Step 4: Simplify right side
    164,985.82x = 20,385,211,582.01
  5. Step 5: Solve for x
    x = 20,385,211,582.01/164,985.82
  6. Step 6: Final answer
    x = 123,557.36

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