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Finding the Fourth Proportional to 164,923, 227,591.58 and 89,474.20

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Solution

The fourth proportional to 164,923, 227,591.58 and 89,474.20 is: 123,473.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,923 : 227,591.58 = 89,474.20 : x
  2. Step 2: Convert to fraction form
    164,923/227,591.58 = 89,474.20/x
  3. Step 3: Cross multiply
    164,923x = 227,591.58 × 89,474.20
  4. Step 4: Simplify right side
    164,923x = 20,363,574,547.24
  5. Step 5: Solve for x
    x = 20,363,574,547.24/164,923
  6. Step 6: Final answer
    x = 123,473.22

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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.