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Finding the Fourth Proportional to 164,821, 227,452.98 and 89,369.48

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Solution

The fourth proportional to 164,821, 227,452.98 and 89,369.48 is: 123,329.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,821 : 227,452.98 = 89,369.48 : x
  2. Step 2: Convert to fraction form
    164,821/227,452.98 = 89,369.48/x
  3. Step 3: Cross multiply
    164,821x = 227,452.98 × 89,369.48
  4. Step 4: Simplify right side
    164,821x = 20,327,354,547.05
  5. Step 5: Solve for x
    x = 20,327,354,547.05/164,821
  6. Step 6: Final answer
    x = 123,329.88

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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.