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Finding the Fourth Proportional to 164,816.16, 227,446.29 and 89,364.66

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Solution

The fourth proportional to 164,816.16, 227,446.29 and 89,364.66 is: 123,323.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,816.16 : 227,446.29 = 89,364.66 : x
  2. Step 2: Convert to fraction form
    164,816.16/227,446.29 = 89,364.66/x
  3. Step 3: Cross multiply
    164,816.16x = 227,446.29 × 89,364.66
  4. Step 4: Simplify right side
    164,816.16x = 20,325,660,374.11
  5. Step 5: Solve for x
    x = 20,325,660,374.11/164,816.16
  6. Step 6: Final answer
    x = 123,323.22

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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.