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Finding the Fourth Proportional to 209,393.13, 288,964.77 and 113,900.07

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Solution

The fourth proportional to 209,393.13, 288,964.77 and 113,900.07 is: 157,183.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,393.13 : 288,964.77 = 113,900.07 : x
  2. Step 2: Convert to fraction form
    209,393.13/288,964.77 = 113,900.07/x
  3. Step 3: Cross multiply
    209,393.13x = 288,964.77 × 113,900.07
  4. Step 4: Simplify right side
    209,393.13x = 32,913,108,187.03
  5. Step 5: Solve for x
    x = 32,913,108,187.03/209,393.13
  6. Step 6: Final answer
    x = 157,183.32

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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.