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Finding the Fourth Proportional to 209,178.42, 288,334.96 and 191,802.03

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Solution

The fourth proportional to 209,178.42, 288,334.96 and 191,802.03 is: 264,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,178.42 : 288,334.96 = 191,802.03 : x
  2. Step 2: Convert to fraction form
    209,178.42/288,334.96 = 191,802.03/x
  3. Step 3: Cross multiply
    209,178.42x = 288,334.96 × 191,802.03
  4. Step 4: Simplify right side
    209,178.42x = 55,303,229,087.21
  5. Step 5: Solve for x
    x = 55,303,229,087.21/209,178.42
  6. Step 6: Final answer
    x = 264,383.06

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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.