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Finding the Fourth Proportional to 164,816.19, 227,446.47 and 89,364.69

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Solution

The fourth proportional to 164,816.19, 227,446.47 and 89,364.69 is: 123,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,816.19 : 227,446.47 = 89,364.69 : x
  2. Step 2: Convert to fraction form
    164,816.19/227,446.47 = 89,364.69/x
  3. Step 3: Cross multiply
    164,816.19x = 227,446.47 × 89,364.69
  4. Step 4: Simplify right side
    164,816.19x = 20,325,683,283.14
  5. Step 5: Solve for x
    x = 20,325,683,283.14/164,816.19
  6. Step 6: Final answer
    x = 123,323.34

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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.