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Finding the Fourth Proportional to 209,892.66, 314,931.73 and 110,028.97

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Solution

The fourth proportional to 209,892.66, 314,931.73 and 110,028.97 is: 165,092.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.66 : 314,931.73 = 110,028.97 : x
  2. Step 2: Convert to fraction form
    209,892.66/314,931.73 = 110,028.97/x
  3. Step 3: Cross multiply
    209,892.66x = 314,931.73 × 110,028.97
  4. Step 4: Simplify right side
    209,892.66x = 34,651,613,872.22
  5. Step 5: Solve for x
    x = 34,651,613,872.22/209,892.66
  6. Step 6: Final answer
    x = 165,092.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.